Question
3 Kulani lives in Soweto and receives R70 pocket money per week. He saves
R21 per week. Bolani lives in Mdanstane and receives R42 pocket money per
week. He saves R14 per week.
a Express Kulani and Bolani’s weekly pocket money as a ratio.
b Express Kulani’s weekly savings as a fraction of his weekly
pocket money.
c Express Bolani’s weekly savings as a fraction of his weekly
pocket money.
d Calculate the total savings of each boy in a month of four weeks.
e Express Kulani and Bolani’s monthly pocket money as a ratio.
R21 per week. Bolani lives in Mdanstane and receives R42 pocket money per
week. He saves R14 per week.
a Express Kulani and Bolani’s weekly pocket money as a ratio.
b Express Kulani’s weekly savings as a fraction of his weekly
pocket money.
c Express Bolani’s weekly savings as a fraction of his weekly
pocket money.
d Calculate the total savings of each boy in a month of four weeks.
e Express Kulani and Bolani’s monthly pocket money as a ratio.
Ask by Hills Mccarthy. in South Africa
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a. Kulani and Bolani’s weekly pocket money ratio is 5:3.
b. Kulani saves 3/10 of his weekly pocket money.
c. Bolani saves 1/3 of his weekly pocket money.
d. Kulani saves R84 and Bolani saves R56 in a month.
e. Kulani and Bolani’s monthly pocket money ratio is 5:3.
Solution
Let’s solve each part of the problem step-by-step.
a. Express Kulani and Bolani’s Weekly Pocket Money as a Ratio
- Kulani’s weekly pocket money = R70
- Bolani’s weekly pocket money = R42
Ratio = Kulani’s pocket money : Bolani’s pocket money
= 70 : 42
= 70 : 42
Simplifying the Ratio:
- Divide both numbers by their greatest common divisor (GCD), which is 14.
= (70 ÷ 14) : (42 ÷ 14)
= 5 : 3
= 5 : 3
b. Express Kulani’s Weekly Savings as a Fraction of His Weekly Pocket Money
- Kulani’s weekly savings = R21
- Kulani’s weekly pocket money = R70
Fraction = Savings / Pocket Money
= 21 / 70
= 21 / 70
Simplifying the Fraction:
- Divide numerator and denominator by 7.
= (21 ÷ 7) / (70 ÷ 7)
= 3/10
= 3/10
So, Kulani saves 3/10 of his weekly pocket money.
c. Express Bolani’s Weekly Savings as a Fraction of His Weekly Pocket Money
- Bolani’s weekly savings = R14
- Bolani’s weekly pocket money = R42
Fraction = Savings / Pocket Money
= 14 / 42
= 14 / 42
Simplifying the Fraction:
- Divide numerator and denominator by 14.
= (14 ÷ 14) / (42 ÷ 14)
= 1/3
= 1/3
So, Bolani saves 1/3 of his weekly pocket money.
d. Calculate the Total Savings of Each Boy in a Month of Four Weeks
-
Kulani’s weekly savings = R21
Total monthly savings = 21 × 4 = R84 -
Bolani’s weekly savings = R14
Total monthly savings = 14 × 4 = R56
e. Express Kulani and Bolani’s Monthly Pocket Money as a Ratio
- Kulani’s monthly pocket money = R70 × 4 = R280
- Bolani’s monthly pocket money = R42 × 4 = R168
Ratio = Kulani’s monthly pocket money : Bolani’s monthly pocket money
= 280 : 168
= 280 : 168
Simplifying the Ratio:
- Divide both numbers by their GCD, which is 56.
= (280 ÷ 56) : (168 ÷ 56)
= 5 : 3
= 5 : 3
Summary of Answers
a. Weekly pocket money ratio: 5 : 3
b. Kulani’s savings as a fraction of pocket money: 3⁄10
c. Bolani’s savings as a fraction of pocket money: 1⁄3
d. Total monthly savings: Kulani = R84; Bolani = R56
e. Monthly pocket money ratio: 5 : 3
b. Kulani’s savings as a fraction of pocket money: 3⁄10
c. Bolani’s savings as a fraction of pocket money: 1⁄3
d. Total monthly savings: Kulani = R84; Bolani = R56
e. Monthly pocket money ratio: 5 : 3
Answered by UpStudy AI and reviewed by a Professional Tutor
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Explain 
Simplify this solution The Deep Dive
Kulani and Bolani’s weekly pocket money can be expressed as the ratio of 70:42. To simplify, we divide both numbers by 14, resulting in a neat ratio of 5:3. Ratios like this help us easily compare different amounts and can be a fun way to visualize differences in income!
When it comes to savings, Kulani saves R21 from his R70 pocket money, which can be expressed as a fraction. That would be 21/70, simplifying to 3/10. This means that 30% of his pocket money goes straight into savings - a great habit! Bolani follows suit by saving R14 from R42 pocket money; this fraction is 14/42, which simplifies to 1/3. Saving 33.3% of his allowance is a savvy choice that puts him on the right financial path!
