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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?.



Answer :

Cost of one pair of sunglasses and one shirt is $15 and $18.

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Let x be the sunglasses

y be the shirts

3x + 2y = $81  → 1

1x + 5y = $105 → 2

By solving this equations

eq 1 * 5 → 15x + 10y = $405

eq 2 * 2 → 2x + 10y = $210

13x = 195

x = 15

Substitute x=15 in eq 1

3(15) + 2y = $81

45 + 2y = $81

2y = 36

y = 18

If x= 15 then y =18

Cost of one pair of sunglasses and one shirt is $15 and $18.

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