Problem 1 · 2008 AMC 8
Easy
Arithmetic & Operations
word-problem
Susan had 50 dollars to spend at the carnival. She spent 12 dollars on food and twice as much on rides. How many dollars did she have left to spend?
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Answer: B — $14.
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Hint 1 of 2
"Twice as much" on rides means rides cost two more food-amounts — so she really spent three lots of $12.
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Hint 2 of 2
When everything is a multiple of the same number, count in that unit instead of adding raw dollars.
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Approach: count in units of $12
- Food is one $12, rides are twice that, so spending is 1 + 2 = 3 lots of $12 = $36. Seeing it as "three $12s" beats adding 12 + 24.
- Left: 50 − 36 = $14.
- Sanity check: she spent most of her money but kept a little — $14 out of $50 feels right.
Another way — subtract pieces directly:
- Rides: 2 · 12 = $24. Food + rides = 12 + 24 = $36.
- Left: 50 − 36 = $14.
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