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

Answer:

a

Step-by-step 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

Answer:

The answer is A. .

Step-by-step 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.