Question

Mrs. Jones buys 7 t shirts and 6 hats for $86. The price of each t shirt is $3 more than the price of each hat. How much does Mrs. Jones pay for each item?

Answer 1

The price of 1 hat is $ 5 and price of 1 t-shirt is $ 8

Solution:

Let "s" be the price of 1 shirt

Let "h" be the price of 1 hat

Given that Jones buys 7 t-shirts and 6 hats for $86

Therefore, we can frame a equation as:

price of 1 shirt x 7 + price of 1 hat x 6 = 86

$s \times 7 + h \times 6 = 86$

7s + 6h = 86 ------ eqn 1

Also given that The price of each t shirt is $3 more than the price of each hat

price of 1 shirt = 3 + price of 1 hat

s = 3 + h -------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

7( 3 + h ) + 6h = 86

21 + 7h + 6h = 86

21 + 13h = 86

13h = 86 - 21

13h = 65

h = 5

From eqn 2,

s = 3 + h = 3 + 5 = 8

s = 8

Thus price of 1 hat is $ 5 and price of 1 t-shirt is $ 8