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?

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

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

From eqn 2,

s = 3 + h = 3 + 5 = 8

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

emily solved for a part when she should have solved for the whole. 875,000 should be the numerator of the equivalent ratio. 70 x 12,500 is 875,000. so the answer is 100 x 12,500 which is 1,250,000.