problem: ratios words problems 4
Three small cities A, B, C share the costs for a new fire station in the ratio 5 : 2 : 7
How much have each city to spend if the total amount is $ 560 000?
answer: ratios word problems 4
1. step: given
parts $
city A: 5 ?
city B: 2 ?
city C: 7 ?
total amount: 14 560 000
wanted: city A, city B, city C
2. step: 1 part
1 part = $ total amount : parts total amount
1 part = 560 000 : 14
1 part = $ 40 000
3. step: costs city A, B, C
parts $
city A: 5 5 * 40 000 = 200 000
city B: 2 2 * 40 000 = 80 000
city C: 7 7 * 40 000 = 280 000
total amount: 14 560 000
4. step: answer
City A have to pay $ 200 000, city B $ 80 000 and city C $ 280 000.