SOLUTION: 15. Devi saves 2/5 of her pocket money each week, spends ¾ of the remainder on ice-cream and 70 cents on sweets. She finds that she still has 50 cents left. How much money does rec

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Question 392216: 15. Devi saves 2/5 of her pocket money each week, spends ¾ of the remainder on ice-cream and 70 cents on sweets. She finds that she still has 50 cents left. How much money does receive each week?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the amount of pocket money that Devi receives each week.
She saves %282%2F5%29x which means that she has %283%2F5%29x remaining.
Of this amount she spends 3%2F4 on ice cream and $0.70 on sweets to leave a remainder of $0.50, so we have:
%283%2F5%29x-%28%283%2F5%29x%29%283%2F4%29-0.70+=+0.50 Simplify and solve for x.
%283%2F5%29x-%289%2F20%29x-0.70+=+0.50 Add 0.70 to both sides.
%283%2F5%29x-%289%2F20%29x+=+1.20 Simplify the left side.
%2812%2F20%29x-%289%2F20%29x+=+1.20
%283%2F20%29x+=+1.20
x+=+%281.20%29%2820%2F3%29
x+=+8.00
Devi receives $8.00 each week.