Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237.

a. Write an equation that can be used to find the number of swimming lessons that she paid for.
b. How many swimming lessons did she pay for? c. At the time she had $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237?

Question

Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237.

a.    Write an equation that can be used to find the number of swimming lessons that she paid for.    
b.    How many swimming lessons did she pay for?    c.    At the time she had $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237?

anonymous · Answer

237 = 402 - 15x
when x is the number of weeks she withdrew 15 dollars

anonymous · Answer

then for c, 0 = 237 - 19x
if you get x to be a fraction, round down to the nearest whole number

anonymous · Answer

but that would mean that a would be like this 
237=402-15x
-402 -402
-165=15x

-165/15=x
-11=x

anonymous · Answer

on your third line it should be 
-165 = -15x

anonymous · Answer

Ohh i see now! and can you just explain c for me a little bit more. all i did was divide -237/-19 and got 12.47. then just round down so it would be 12?

anonymous · Answer

Yes, because thats the number of whole lessons she can pay for, she can pay for almost an additional half of a lesson, but I don't think thats what they are looking for.