Rachel won a money prize.She spent 36% of it on a bag and the same amount of money on a meal for her family.She saved the remaining $112.What was the total amount of her money prize?
Question
Rachel won a money prize.She spent 36% of it on a bag and the same amount of money on a meal for her family.She saved the remaining $112.What was the total amount of her money prize?
Solution 1
To solve this problem, we need to understand that Rachel spent 36% of her money on a bag and another 36% on a meal. This means she spent 72% of her total money prize on these two items.
The remaining amount, which is 28% (100% - 72%), is what she saved. We know that this amount is $112.
To find out the total amount of her money prize, we can set up the equation:
28% of total prize = $112
To solve for the total prize, we can divide $112 by 28% (or 0.28 in decimal form):
Total prize = $112 / 0.28
Total prize = $400
So, Rachel's total money prize was $400.
Solution 2
To solve this problem, we need to understand that Rachel spent 36% of her money on a bag and another 36% on a meal. This means she spent 72% of her total money prize on these two items.
The remaining amount, which is 28% (100% - 72%), is what she saved. We know that this amount is $112.
To find out the total amount of her money prize, we can set up the equation:
28% of total prize = $112
To solve for the total prize, we can divide $112 by 28% (or 0.28 in decimal form):
Total prize = $112 / 0.28
Total prize = $400
So, Rachel's total money prize was $400.
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