Math problem needs to be solved

Question

Anthony Tedesco sold his used mountain bike and accessories for $328. If he received 7 times as much money for the bike as he did for the accessories, find how much money he received for the bike.

He received $

for the bike.

Answer 1

Let B = bike price

A = accessories price

The total cost was $328, so

B + A = 328

The bike sold for 7 times the price of the accessories, so

7A = B

We can substitute this into the first equation

7A + A = 328

8A = 328

A = 41

Then we can substitute this into the second equation

7A = B

7*41 = B

287 = B

He received $287 for the bike