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 = $15

the cost of one pair of shirt = $18

Step-by-step explanation:

Let 'x' be the price of a pair of sunglasses and 'y' be the price of one shirt.

To form the equation

It is given that,

Scarlet bought three pairs of sunglasses and two shirts for $81

we can write,

3x + 2y = 81 (1)

and Paula bought one pair of sunglasses and five shirts for $105,

We can write,

x + 5y = 105    (2)

To find x and y

Multiply eq(2) by 3 we get

3x + 15y = 315   (3)

eq(3) - eq(1) ⇒ 13y = 234

y = 234/13 = 18

eq(2) ⇒ x + 5y = 105

x + 5*18 = 105

x = 105 - 90 = 15

Therefore, the cost of one pair of sunglasses= 15 and one shirt = 18

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step-by-step explanation:

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