SOLUTION: Campbell has 2 more toys than he needs in order to have one-half the number of toys Noah has. Campbell is 3 short of three-quarters the number of toys Noah has. How many toys does
Algebra.Com
Question 1033401: Campbell has 2 more toys than he needs in order to have one-half the number of toys Noah has. Campbell is 3 short of three-quarters the number of toys Noah has. How many toys does Campbell have?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let c represent the number of toys that campbell has.
let n represent the number of toys that noah has.
c = .5 * n + 2
this means that campbell has 2 more toys than half the toys that noah has.
c = .75 * n - 3
this means that campbell has 3 less toys than three quarters of the toys that noah has.
you have two equations that need to be solved simultaneously.
they are:
c = .5 * n + 2
c = .75 * n - 3
subtract the first equation from the second equation to get 0 = .25 * n - 5
add 5 to both sides of the equation to get 5 = .25 * n
divide both sides of the equation by .25 to get 5/.25 = n
solve for n to get n = 20
noah has 20 toys.
campbell has 2 more than half of noah's toys means that campbell has 12.
campbell has 3 less than three quarters of noah's toys means that campbell has 12.
the numbers check out.
noah has 20.
campbell has 12.
RELATED QUESTIONS
Nicole has 3 more dollars than she needs in order to have one-third of the dollars that... (answered by josgarithmetic,ikleyn)
Kate has 2 more apples than she needs in order to have one-third of the apples that Renee (answered by stanbon,Aldorozos)
Jack has assembled an average of 30 toys over past 5 hours, how many toys would he have... (answered by Fombitz)
Gillian and Ben had a total of 4850 toys. Ben have 3/7 of his toys to Gillian. She then... (answered by josgarithmetic,ikleyn,54929)
An electronic toy manufacturer uses a particular kind of quality test to check the toys. (answered by stanbon)
at earth's toy store, the paper toys are 3 times less than wooden toys, but twice more... (answered by Alan3354)
Daniel had some toys. He gave 1/4 of his toys to Jed, 1/3 to Tim and shared the remainder (answered by greenestamps,Edwin McCravy)
there were 12 toys in bag p and 66 toys in bag q. Each bag had the same number of toys... (answered by TimothyLamb)
the rule y=123x is used to describe the function for the number of mintues needed,x, to... (answered by ikleyn)