Question

Would you mind looking at this question?

Prices for bicycles are given below
The price of a red bike is the price of a blue bike is 2/3
The price of a green bike is 5/4
Since the price of a green bike is $210 more than the price of a blue bike, how much does a red bike cost?
A) $360 B) $440 C) $560 D)$720

Answer 1

C) $560

Explanation:

Suppose that: r=price of red bike , b=price of blue , g=price of green.

Given: r=(2/3)b g=(5/4)b g=210+b

Solution:

(5/4)b=210+b (g=g)

(5/4)b-b=210 (take b as common factor)

b((5/4)-1)=210

b(0.25)=210

b=210/0.25=$840 (so the price of blue bike is 840$)

Substitute b in equation of r:

r=(2/3)b=(2/3)(840)=560

so red bike costs $560.