Question

Travis used 76% of the money in his savings account to buy something that cost him $380. How much money is left in his savings account?

Answer 1

$120

Explanation:

Before the purchase, the amount of money in the account was x.

76% of the amount of money in the account is $380.

We write the above statement as an equation and solve for x, the original amount of money in the account.

76% of x = 380

0.76x = 380

Divide both sides by 0.76

0.76x/0.76 = 380/0.76

x = 500

He had $500 in his account.

He spent $380.

$500 - $380 = $120

He has $120 left in the account.

Answer: $120

Answer 2

$120

Explanation:

Step 1: Find how much he had in total. One way of doing that is setting up a fraction, then solve

`(76\%\:)/(380)=(100\%\:)/(x)`

`76\% =(19)/(25)`

`100 =1`

Cross Multiply

`(19)/(25)x=380\cdot \:1`

SImplify

`(19)/(25)x=380`

Multiply both sides by 25

`(19)/(25)x\cdot \:25=380\cdot \:25`

Simplify

`19x=9500`

Divide both sides by 19

`(19x)/(19)=(9500)/(19)`

Simplify

`x=500`

That means he had a total of $500 in his account.

Step 2: Subtract the amount used from the total

`500 - 380\\\\= 120`

Therefore, $120 is left in Travis' savings account.