Question

Mary bought 5 pairs of gloves and 2 hats for $95. Mary received a text from her friend Joanna ask her to buy 4 pairs of gloves and a hat. Mary told Joanna that the cost was $70. How much does each pair of gloves cost? How much does the hat cost?

Answer 1

Answer: Each pair of gloves costs $15 and each pair of hat costs $10.

Explanation:

Let x = Cost per pair of gloves

y= Cost per hat.

As per given, we have

`5x+2y=95 \ \ \ \ (i)\\4x+y=70\ \ \ \ \ (ii)`

Multiply (ii) by 2 , we get

`8x+2y=140\ \ \ \ (iv)`

Eliminate (i) from (iv), we get

`3x=45\\x=15`

Put this in (ii), we get

`4(15)+y=70\\60+y=70\\y=10`

Hence, each pair of gloves costs $15 and each pair of hat costs $10.