Question

All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74.90 to buy a bicycle and a helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the helmet, h?

a. 0.3(74.90+)=85
b. 0.3(74.90+h)=74.90
c. 0.7(74.90+h)=85
d. 0.7(85+h)=74.90

Answer 1

30%off means he is paying 70%of regular price
0.7(85+h)=74.90

Answer 2

D

Explanation:

74.90 is the price of bicycle AND helmet together AFTER 30% discount.

• Before discount bicycle was 85
• Before discount helmet was
  `h`

So sum is
`85+h`

This sum should be discounted 30% to get our discounted price (which is 74.9)

Discounting something by 30% means multiplying that thing by
`1-0.3=0.7`

So now we have 0.7 multiplied with the sum of
`85+h`, which will give us 74.9. This in equation is:

`0.7(85+h)=74.90`

Answer choice D is correct.