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?

Respuesta :

Answer:

$1500

Step-by-step explanation:

let the cost of the apartment = x

Hence the cost of the car is [tex]\frac{9}{10} \times x[/tex]

also given the cost of car=18000

Hence

[tex]18000= \frac{9x}{10}[/tex]

[tex]x= \frac{18000 \times 10}{9}[/tex]

[tex]x= 2000 \times 10[/tex]

[tex]x= 20000[/tex]

Motorcylce cost = [tex]\frac{1}{5}[/tex] of Cost of apartment

= [tex]\frac{1}{5} \times 20000[/tex]

= [tex]4000[/tex]

Also Motorcylce cost=[tex]\frac{4}{5}[/tex] of the cost of 100 soccer balls.

Hence

4000= [tex]\frac{4}{5}[/tex] x (cost of 100 soccer balls.)

(cost of 100 soccer balls.)= [tex]\frac{4000 \times 5}{4}[/tex]

(cost of 100 soccer balls.)= [tex]1000 \times 5[/tex]

cost of 100 soccer balls= [tex]5000[/tex]

cost of 1 soccer balls = [tex]\frac{5000}{100}[/tex]

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

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