SOLUTION: I'm trying to help my 7th grader with an algebra problem. Boy...I feel stupid! Here it is. A bike shop has a bunch of bikes for sale. The problem asks how many of each bike are

Question 794721: I'm trying to help my 7th grader with an algebra problem. Boy...I feel stupid! Here it is.
A bike shop has a bunch of bikes for sale. The problem asks how many of each bike are available. Here is the information given:
The shop sells tricycles, bicycles, tandem bikes, and unicycles.
There are 57 helmets available (one for each rider).
There are 115 wheels total.
There are 32 regular bikes.
There are the same same number of tandem bikes as ther are unicycles.
That is all the information there is. Thanks for your help!
Rich
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
t= tricycle
b-bicycle
d= tandem
u- unicycle
There are 57 helmets available (one for each rider).
t+b+2d+u=57
There are 115 wheels total.
3t+2b+2d+u=115

There are 32 regular bikes.
b=32

There are the same same number of tandem bikes as there are unicycles.
d=u
t+b+2d+u=57
3t+2b+2d+u=115
b=32
d=u
Substitute in the first equation
t+32+2d+d=57
t+3d=25>...............................(1)
substitute in second equation
3t+64+2d+d=115
3t+3d=115-64
3t+3d=51
t+d=17..................................(2)
solve 1 & 2 we get
d= 4 Tandem bikes
t+d=17
t=13.... Tricycles
u = d
so u =4
RELATED QUESTIONS
Please someone help me. I am trying to help my 7th grader with is algebra 1 homework.... (answered by edjones)

trying to help my 7th grader , with his 8th grerade pre algebra. He knows the basis of... (answered by Alan3354)

you have 4 numbers four numbers are all y's. I need to figure out x for the top number I... (answered by dabanfield)

Hi. I'm helping my 7th grader with homework. I haven't done pre algebra in ages. I need... (answered by josgarithmetic,MathTherapy)

Hi my name is Amanda and my mother decided to homeschool me this year is there anyway I... (answered by elima)

I am helping my little sister with her math homework. The word problem is: There are 18... (answered by ankor@dixie-net.com)

I am a parent (father) trying to help my 12 year old son (7th grader) with this word... (answered by stanbon)

am trying to help my 9th grader with algebra....the problem is:... (answered by nerdybill,Earlsdon,stanbon)

I am trying to help my cousin who is pretty much failing Algebra I learn how to do her... (answered by funmath)