Question

Samira and Morgan went shopping for a class party. Samira bought 8 two-liters of drinks and 4 bags of chips for a total of $20. Morgan bought 6 two-liters and 10 bags of chips for a total of $29. How much did they spend on each two-liter and each bag of chips?

A) $1 for each two-liter, $2 for each bag of chips
B) $2 for each two-liter, $1 for each bag of chips
C) $2 for each two-liter, $2 for each bag of chips
D) $1 for each two-liter, $1 for each bag of chips.

Answer 1

Samira and Morgan spent $1.5 on each two-liter drink and $2 on each bag of chips.

Step-by-step explanation:

To solve this problem, we need to set up a system of equations based on the information given. Let x represent the cost of each two-liter drink and y represent the cost of each bag of chips.

From the given information, we can write the following equations:

1. 8x + 4y = 20 (equation 1)
2. 6x + 10y = 29 (equation 2)

To solve this system of equations, we can use the method of substitution or elimination. In this case, let's use the method of substitution.

First, solve equation 1 for x:

8x = 20 - 4y

x = (20 - 4y)/8

Now, substitute this value of x into equation 2:

6((20 - 4y)/8) + 10y = 29

Now, solve for y:

120 - 24y + 80y = 232

56y = 112

y = 2

Now, substitute the value of y into equation 1 to solve for x:

8x + 4(2) = 20

8x + 8 = 20

8x = 12

x = 1.5

Therefore, Samira and Morgan spent $1.5 on each two-liter drink and $2 on each bag of chips.