Question

At a sale on winter clothing Cody brought two pairs of gloves and four hats for $43.00 tori bought two pairs of gloves and two hats for 30.00.find the prices of the hats and gloves

Answer 1

Answer:

Cost of one glove pair is $ 8.50 and the cost of one hat is $6.50

Step-by-step explanation:

Let g represents the cost of one gloves pair

h represents the cost of one hat

Then

Cody brought two pairs of gloves and four hats for $43.00

This can be written as

2g + 4h = 43-------------------(1)

Tori bought two pairs of gloves and two hats for 30.00

This can be written as

2g + 2h = 30------------------(2)

Subtracting (2) from (1)

2g + 4h = 43

2g + 2h = 30

(-)

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

0g + 2h = 13

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

2h =13

h = 13 / 2

h = 6.5---------------------(3)

Substituting (3) in (2)

2g + 2(6.5) = 30

2g + 13 = 30

2g = 17

g = 17 / 2

g = 8.5

So one hat is $6.50 and one pair of gloves is $8.50.