Maggie bought freight trains for her model train set. She spent $99 on them. Gage bought some model trains too. He spent $66 on them. Each train costs the same amount. At most, how much could each model freight train cost?
At most, a model freight train could cost how much?
2 answers
66 = 2/3 of 99
number of models bought by Maggie ---- x
cost of each = 99/x
number of models bought by Gage ---- y
cost of each = 66/y
99/x = 66/y
3/x = 2/y
2x = 3y
x = 3y/2 , but x must be a whole number, so 3y/2 must be a whole number
the smallest such number is when y = 2, then x = 3
or , let y = 6, then x = 9
let y = 40, then x = 60
Of course the highest cost of a model would be when the x and y are the lowest numbers, which would be 99/3 = $33.00
cost of each = 99/x
number of models bought by Gage ---- y
cost of each = 66/y
99/x = 66/y
3/x = 2/y
2x = 3y
x = 3y/2 , but x must be a whole number, so 3y/2 must be a whole number
the smallest such number is when y = 2, then x = 3
or , let y = 6, then x = 9
let y = 40, then x = 60
Of course the highest cost of a model would be when the x and y are the lowest numbers, which would be 99/3 = $33.00
1 answer