Question

A vendor bought a supply of ice cream bars at three for 20 cents. He ate one and sold the remainder at 10 cents each. If he made $200.00, how many bars did he buy?

Answer 1

201 bars

Explanation:

Let the number of bars bought be x.

Cost of three bars is 20 cents.

Therefore, 1 bar will cost
`(20)/(3)` cents.

He ate one of the bars...

Therefore, remaining bars will be x - 1

... He sold the remainder at 10 cents each i.e

1 bar = 10 cents

(x - 1) bars = 10( x - 1) cents

...He made $200.00 from selling the remaining bars.

10( x - 1) cents = $200.00 ---------------(i)

Convert from dollars to cents

$1 = 10 cents

$200 = 200 x 10 cents = 2000 cents

From equation (i)

10(x - 1)cents = 2000 cents

=> 10( x - 1) = 2000 [divide both sides by 10]

=> x - 1 = 200

=> x = 200 + 1

=> x = 201

Therefore, he bought 201 bars of ice cream.