Question

A car cost $18,000, which is 9/10 of the cost of an apartment. A motorcycle cost 1/5 of the cost of the apartment or 4/5 of the cost of 100 soccer balls. How much do you need to pay for 30 soccer balls?

Answer 1

$1500

Explanation:

let the cost of the apartment = x

Hence the cost of the car is
`(9)/(10) * x`

also given the cost of car=18000

Hence

`18000= (9x)/(10)`

`x= (18000 * 10)/(9)`

`x= 2000 * 10`

`x= 20000`

Motorcylce cost =
`(1)/(5)` of Cost of apartment

=
`(1)/(5) * 20000`

=
`4000`

Also Motorcylce cost=
`(4)/(5)` of the cost of 100 soccer balls.

Hence

4000=
`(4)/(5)` x (cost of 100 soccer balls.)

(cost of 100 soccer balls.)=
`(4000 * 5)/(4)`

(cost of 100 soccer balls.)=
`1000 * 5`

cost of 100 soccer balls=
`5000`

cost of 1 soccer balls =
`(5000)/(100)`

cost of 1 soccer balls = 50

cost of 30 soccer balls = 50 x 30

cost of 30 soccer balls = 1500

Hence the cost of 30 balls is $1500