Login
Premium
Home Question Bank Math Arithmetic
Question
upstudy study bank question image url

Ani dan Bita bergantian mengambil manik-manik dari sebuah kotak.
Setiap giliran adalah sebagai berikut: Ani mengambil 1, Bita mengam-
bil 2, Ani mengambil 3, Bita mengambil 4 dan seterusnya. Setelah be-
berapa waktu, manik-manik yang tersisa terlalu sedikit untuk melan-
jutkan pergantian pengambilan dan anak yang mendapatkan giliran
tersebut mengambil semua manik-manik yang tersisa. Ketika semua
manik-manik telah terbagi, Ani mendapatkan manik-manik sebanyak
1018 buah. Jumlah total manik-manik mula-mula adalah …
A. 2068
B. 2035
C. 2018
D. 2010

Ask by Burns Turnbull. in Indonesia
Nov 25,2024

Upstudy AI Solution

Tutor-Verified Answer

Answer

Jumlah total manik-manik awal adalah 55 buah. Jadi, jawaban yang tepat adalah A. 2068.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Mind Expander

Mari kita lihat pola pengambilan manik-manik oleh Ani dan Bita. Pada giliran pertama, Ani mengambil 1, Bita 2, Ani 3, Bita 4, dan seterusnya. Dengan pola tersebut, kita bisa menghitung total manik-manik yang diambil oleh Ani dan Bita secara bertahap.
Total manik-manik yang diambil oleh Ani dapat dihitung dengan mengambil 1, 3, 5… dan seterusnya (deret bilangan ganjil), sedangkan Bita mengambil 2, 4, 6… (deret bilangan genap). Jika kita perhatikan, Ani mengambil manik-manik dalam bentuk deret aritmatika. Dengan mengetahui jumlah manik yang dia ambil (1018), kita bisa menghitung total manik awalnya dari suma deret hingga giliran terakhir yang diambilnya.
Dari perhitungan, total manik-manik mula-mula adalah 2035. Jadi jawaban yang benar adalah B. 2035.

Related Questions

Finding the principal, rate, or time for a simple interest loan whose term i... Kevin took out a loan for 225 days and was charged simple interest at an annual rate of 7.3%. The total interest he paid on the loan was $117. How much money did Kevin borrow? Assume that there are 365 days in a year, and do not round any intermediate computations. If necessary, refer to the list of financial formulas.
Arithmetic United States Mar 14, 2025
The price of a home is $200,000. The bank requires a 15% down payment. The buyer is offered two mortgage options: 15 -year fixed at 6.5% or 30 -year fixed at 6.5%. Calculate the amount of interest paid for each option. How much does the buyer save in interest with the 15 -year option? Use the following formula to determine the regular payment amount.  PMT =P(rn)[1−(1+rn)−nt] Find the monthly payment for the 15 -year option. $1,481 (Round to the nearest dollar as needed.) Find the monthly payment for the 30-year option.
Arithmetic United States Mar 14, 2025
\begin{tabular}{l}\hline \( \begin{array}{l}\text { Interesse ATTIVO } \longrightarrow \text { si aggiunge } \\ \text { al denaro depositato }\end{array} \) \\ Deposito: \( € 450 \) - Interesse: \( 2,5 \% \) \\ Totale dopo un anno: \\ \( \begin{aligned} 450: & = \\ \times & = \\ & =\end{aligned} \) \\ \hline\end{tabular}
Arithmetic Italy Mar 14, 2025
The credit card with the transactions described in the popup below uses the average daily balance method to calculate interest. The monthly interest rate is 1.6% of the average daily balance. Calculate parts a-d using the statement in the popup. Click the icon to view the credit card statement. a. Find the average daily balance for the billing period. Round to the nearest cent. The average daily balance for the billing period is $◻. (Round to the nearest cent as needed.)
Arithmetic United States Mar 14, 2025
ts on a field trip to see a play at a theater that has 660 seats. The students left 231 seats vacant. What percentage of
Arithmetic United States Mar 14, 2025

Latest Arithmetic Questions

\begin{tabular}{l}\hline \( \begin{array}{l}\text { Interesse ATTIVO } \longrightarrow \text { si aggiunge } \\ \text { al denaro depositato }\end{array} \) \\ Deposito: \( € 450 \) - Interesse: \( 2,5 \% \) \\ Totale dopo un anno: \\ \( \begin{aligned} 450: & = \\ \times & = \\ & =\end{aligned} \) \\ \hline\end{tabular}
Arithmetic Italy Mar 14, 2025
In a box of 80 glasses, 3 are broken. Work out the percentage of broken glasses in the box.
Arithmetic Kenya Mar 14, 2025
How can you tell that (448+217+34)×9 is three times as large as (448+217+34)×3 without doing complicated calculations? Compare the parts that are the same. The first expression shows a sum multiplied by a multiple of 3 . The second shows the same sum multiplied by a multiple of 3 . So, the two expressions are both 3 times as large as the sum. Compare the parts that are the same. The first expression shows a sum multiplied by a number. The second shows the same sum multiplied by a number. So, both expressions must be greater than the sum. Compare the parts that are different. The first expression shows a sum multiplied by 9 . The second shows the same sum multiplied by 3 . So, the first expression is three times as large as the second expression. Compare the parts that are different. The first expression shows a sum multiplied by 9 . The second shows the same sum multiplied by 3 . So, the first expression must be less than the second expression.
Arithmetic United States Mar 14, 2025
Teresa took out a loan for $4800 and was charged simple interest at an annual rate of 11.5%. The total interest she paid on the loan was $138. How long was the loan for, in months? Do not round any intermediate computations. If necessary, refer to the list of financial formulas.
Arithmetic United States Mar 14, 2025
Finding the principal, rate, or time for a simple interest loan whose term i... Kevin took out a loan for 225 days and was charged simple interest at an annual rate of 7.3%. The total interest he paid on the loan was $117. How much money did Kevin borrow? Assume that there are 365 days in a year, and do not round any intermediate computations. If necessary, refer to the list of financial formulas.
Arithmetic United States Mar 14, 2025
Prev Next
Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy
Pop-up title
Lorem ipsum dolor sit amet, te everti debitis assentior nam, ne illum utroque principes sed. Ridens phaedrum an vix, qui in dolore appareat.