Question

At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43. Tori bought two pairs of gloves and two hats for $30. Find the prices of the hats and gloves.

Answer 1

The price of the glove is $8.5 and the price of the hat is $6.5.

Explanation:

2x+4y=43

2x+2y=30

---------------

2x+4y=43

x+y=15

--------------

x=15-y

2(15-y)+4y=43

30-2y+4y=43

30+2y=43

2y=43-30

2y=13

y=13/2

x+13/2=15

x=15-13/2

x=30/2-13/2=17/2

x=17/2, y=13/2.

The price of the glove is $8.5 and the price of the hat is $6.5.