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

Answer:

$120

Step-by-step explanation:

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

$\frac{76\%\:}{380}=\frac{100\%\:}{x}$

$76\% =\frac{19}{25}$

$100 =1$

Cross Multiply

$\frac{19}{25}x=380\cdot \:1$

SImplify

$\frac{19}{25}x=380$

Multiply both sides by 25

$\frac{19}{25}x\cdot \:25=380\cdot \:25$

Simplify

$19x=9500$

Divide both sides by 19

$\frac{19x}{19}=\frac{9500}{19}$

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.

Answer 2

Answer:

$120

Step-by-step 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