Question

You went to the beach many times during the summer and purchased several pairs of sunglasses and bottles of sunscreen. The total number of items purchased was 11. each pair of sunglasses cost $18 and each bottle of sunscreen costs $8. how many of each item were purchased if you spent a total of $128.

Answer 1

To find the number of sunglasses and bottles of sunscreen purchased, we can set up a system of equations. Solve the equations to find the values of x and y.

Step-by-step explanation:

To find the number of sunglasses and bottles of sunscreen purchased, we can set up a system of equations. Let's say x represents the number of sunglasses and y represents the number of sunscreen bottles. We have the following equations:

x + y = 11 (Total number of items purchased)

1. 18x + 8y = 128 (Total amount spent)

We can solve this system of equations to find the values of x and y. Multiplying the first equation by 8, we get 8x + 8y = 88. Subtracting this equation from the second equation, we get:

18x + 8y - (8x + 8y) = 128 - 88

10x = 40

x = 4

Substituting the value of x into the first equation, we have:

4 + y = 11

y = 7

Therefore, 4 pairs of sunglasses and 7 bottles of sunscreen were purchased.