jeans cost $45 each, shirt cost $25 each; total spent $190. If bought twice as many shirts as jeans, how many jeans and shirts did she buy?

Question

jeans cost $45 each

shirts cost $25 each

total spent $190

If bought twice as many shirts as jeans, how many jeans and shirts were bought?

Answer 1

let j=# of jeans bought

let 2j=# of shirts bought

$45*j+$25*2j=$190

45j+50j=190

95j=190

j=190/95

j=2 jeans

2j=4 shirts

check: 2*$45+4*$25=$90+$100=$190

Answer 2

This is a problem involving two unknown variables in which can be broken down to one variable.

 

Let j = the number of jeans were bought

 

and s = 2*j = the number of shirts bought

 

Now set up an equation stating the total amount of dollars spent buying jeans and shirts in which is:

 

45*j + 25*s = 190

 

Substitute s = 2*j in the equation.

 

45*j + 25*(2*j) = 45*j + 50*j = 95*j = 190

 

Now divide both sides of the equation by 95 in which give j = 2 and s = 2*2 = 4

 

Hence, 2 jeans and 4 shirts were bought. The way to check the answer is to substitute the answers but into the original equation.

 

45*2 + 25*4 = 90 + 100 = 190. Therefore, the answers check to be correct.