Pregunta
Watch the video and then solve the problem given below.
Click here to watch the video.
The employees from maintenance go for coffee together every day at 9 a m . On Monday, Hector paid
for three cartons of milk, nine
for four milks, seven coffees, and eight doughnuts. On Wednesday, Anna paid
for two milks, five coffees, and six doughnuts. What is 13
The price of a carton of milk is
. (Type an integer or a decimal.)
The price of a coffee is
The price of a doughnut is
. (Type an integer or a decimal.)
Click here to watch the video.
The employees from maintenance go for coffee together every day at 9 a m . On Monday, Hector paid
for four milks, seven coffees, and eight doughnuts. On Wednesday, Anna paid
The price of a carton of milk is
The price of a coffee is
The price of a doughnut is
Ask by Deleon Jimenez. in the United States
Nov 18,2024
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The price of a carton of milk is
.
The price of a coffee is .
The price of a doughnut is .
The price of a coffee is
The price of a doughnut is
Solución
To solve the problem, we need to set up a system of equations based on the information given about the purchases made by Hector and Anna.
Let:
-
= price of a carton of milk -
= price of a coffee -
= price of a doughnut
From Hector’s purchases on Monday, we have the equation:
From Anna’s purchases on Wednesday, we have the equation:
Now we have two equations with three unknowns. To solve for the prices, we can express one variable in terms of the others. Let’s solve for
in terms of
and
using equation (1):
- Rearranging equation (1):
Now, we can substitute equation (3) into equation (2):
- Substitute
into equation (2):
- Multiply through by 3 to eliminate the fraction:
- Combine like terms:
Now we have a new equation (4) relating
and
. We can express
in terms of
:
Next, we can substitute equation (5) back into equation (3) to find
:
Now we have expressions for
and
in terms of
. We can substitute
with a reasonable value to find integer or decimal prices.
Let’s assume
(5 cents):
Thus, we have:
- Price of a carton of milk
- Price of a coffee
- Price of a doughnut
Final answers:
- The price of a carton of milk is
. - The price of a coffee is
. - The price of a doughnut is
.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


The Deep Dive
Let’s break down Hector’s and Anna’s purchases to find the prices of milk, coffee, and doughnuts.
On Monday, Hector’s total cost is:
- 3 cartons of milk:
- 4 coffees:
- 8 doughnuts:
His total equation is:
On Wednesday, Anna’s total cost is:
- 2 cartons of milk:
- 5 coffees:
- 6 doughnuts:
Her total equation is:
To solve, we have two equations but three variables, which makes it tricky. We’ll need a bit more information to find the individual prices.
Now, a fun fact! Did you know that doughnuts have a fascinating history? They are believed to have originated from early fry bread recipes in the 19th century and became a hit during the American Civil War, thanks to those yummy rebel-themed snacks served to soldiers.
Another interesting tidbit: coffee has been around for centuries, originating in Ethiopia before spreading to the Arab world. Today, it’s one of the most beloved beverages worldwide, with specialty shops popping up everywhere to cater to our caffeine cravings!

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium