Question

At a grocery store, all bags of apples are priced equally and all bags of oranges are priced equally. What is the total price of 2 bags of apples and 3 bags of oranges?

(1) At the grocery store, the total price of 1 bag of apples and 1 bag of oranges is $10.45.
(2) At the grocery store, the total price of 6 bags of apples and 9 bags of oranges is $80.55.

Answer 1

Answer:

$26.85.

Step-by-step explanation:

Let x represent price of each bag of apple and y represent price of each bag of orange.

We have been given that at he grocery store, the total price of 1 bag of apples and 1 bag of oranges is $10.45. We can represent this information in an equation as:

$x+y=10.45...(1)$

We are also told that at the grocery store, the total price of 6 bags of apples and 9 bags of oranges is $80.55. We can represent this information in an equation as:

$6x+9y=80.55...(2)$

Upon dividing equation (2) by 3, we will get:

$\frac{6x}{3}+\frac{9y}{3}=\frac{80.55}{3}$

$2x+3y=26.85$

Since x represent price of each bag of apples, so 2x will represent price of 2 bags of apples.

Since y represent price of each bag of oranges, so 3y will represent price of 3 bags of oranges.

Since $2x+3y$ is equal to 26.85, therefore, the total price of 2 bags of apples and 3 bags of oranges would be $26.85.