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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?

A0.3(74.90+)=85
B0.3(74.90+h)=74.90
C0.7(74.90+h)=85
D0.7(85+h)=74.90

Verified Answer :

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

Answer:

D


Step-by-step 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.