SOLUTION: Olivia's allowance is $1.20 per week. Colton's is 25 cents per day. If they save both of their allowances together, how long will they have to save before they can get a model car

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Olivia's allowance is $1.20 per week. Colton's is 25 cents per day. If they save both of their allowances together, how long will they have to save before they can get a model car       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1117357: Olivia's allowance is $1.20 per week. Colton's is 25 cents per day. If they save both of their allowances together, how long will they have to save before they can get a model car set that costs $23.60?
Found 4 solutions by josgarithmetic, greenestamps, MathTherapy, Shin123:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
%281.2%2F7%29%2Ax%2B0.25x=23.6

0.4214285714285x=23.6

x=56-------DAYS,
or same as 8 weeks.




---
Alternative:
%28%281%261%2F5%29%2F7%2B1%2F4%29x=23.6
%28%286%2F5%29%2F7%2B1%2F4%29x=23.6
6%2F35%2B1%2F4%7Dx=23.6%7D%7D%0D%0A%0D%0A%7B%7B%7B%28%2824%2B35%29%2F%284%2A35%29%29x=23.6
%2859%2F%284%2A35%29%29x=23.6
x=56 days

Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


The solution by the other tutor, where the $1.20 weekly allowance is divided by 7 to get a daily allowance, leads to ugly numbers.

It's far easier to convert the 25 cent daily allowance into a $1.75 weekly allowance.

Then the two allowances together are $2.95 per week; the number of weeks they need to save their allowances to save $23.60 is 23.60%2F2.95+=+8.

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Olivia's allowance is $1.20 per week. Colton's is 25 cents per day. If they save both of their allowances together, how long will they have to save before they can get a model car set that costs $23.60?
With W being the number of weeks, the correct equation is: 1.2W + 7(.25)W = 23.60 ====> 1.2W + 1.75W = 23.6

Solve this for W, the number of weeks. You should get 8.

Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
25*7=1.75 $1.20+$1.75=$2.95 23.60%2F2.95=8 8 weeks.