Complete question :
Ann, Brian and Carol share the cost of a car. Ann pays 2/5 of the cost, Brian pays 1/3 and Carol pays the rest.
a) What fraction of the cost does Carol pay?
b) Ann pays $1600 more than Brian. Find the total cost of the car.
Answer:
4/ 15
8000
Explanation:
A)
Fraction carol paid :
Total fraction = 1/1
Fraction paid by Ann and Brian = (2/5 +1/3)
(2/5 + 1/3) = (6 + 5) / 15 = 11/15
1 - 11/ 15 = 4/ 15
Ann = 2/5 ; Brian pays 1/3
Ann pay 1600 more than Brian
2/5 - 1/3 = (6 - 5) = 1/5
1/5 of amount = 1600
If :
1/5 = 1600
1 = x
1/5x = 1600
x = 1600 ÷1/5
Total amount = 8000