Question

Scarlet and Paula are on a vacation. They went to a store to buy some souvenirs for their friends back home. Scarlet bought three pairs of sunglasses and two shirts for $81 and Paula bought one pair of sunglasses and five shirts for $105. What is the cost of one pair of sunglasses and one shirt? The cost of one pair of sunglasses is $15 and the cost of one shirt is $18. The cost of one pair of sunglasses is $18 and the cost of one shirt is $15. The cost of one pair of sunglasses is $12 and the cost of one shirt is $23. The cost of one pair of sunglasses is $23 and the cost of one shirt is $12.

Answer 1

a

Explanation:

1. Choose a person.

2. Substitute the numbers into the correct values.

105 - 15 = ?/5 = 18

105 - 18 = ?/5 = 3.48

105 - 12 = ?/5 = 18.6

105 - 23 = ?/5 = 16.4

It is A because it is the only one in which the answer is equivalent to the cost.

Hope this helps:)

Answer 2

The answer is A. .

Explanation:

Let
`s` represent the amount of sunglasses bought and
`t` represent the amount of shirts bought.

Scarlet bought 3 pairs of sunglasses and 2 shirts for $81. In other words:

`3s+2t=81`

Paula bought one pair of sunglasses and five shirts for $105. In other words:

`s+5t=105`

We have a system of equations and can solve it by isolating
`s`.

`s+5t=105`

`s=105-5t`

Now, substitute.

`3s+2t=81`

`3(105-5t)+2t=81`

`315-15t+2t=81`

`-13t=-234`

`t=18`

Now, determine
`s.`

`s=105-5t`

`s=105-5(18)`

`s=15`

Thus, a pair of sunglasses is $15 and a shirt is $18.