Fred, Howard, Michael and Zane paid a total of $252 for a gift. Zane paid
12 of what the rest paid. Fred paid 40% of what the rest paid. Howard and Michael paid an equal amount of money. How much did Michael pay?
Fred |
Howard |
Michael |
Zane |
Total |
2x7 |
1x7 |
3x7 |
2x3 |
5x3 |
7x3 |
|
1 |
1 |
|
|
6 u |
4 u |
4 u |
7 u |
21 u |
40%=
40100=
25 Fred's share : Total share = 2 : 5
The total amount paid for the gift is repeated. Make the total amount the same. LCM of 3 and 7 is 21.
Amount that Howard, Michael and Zane paid = 15 u
Amount that Howard and Michael paid
= 15 u - 7 u
= 8 u
The amount that Howard and Michael each paid is the same.
Amount that Howard and Michael each paid
= 8 u ÷ 2
= 4 u
Cost of the gift = 21 u
21 u = 252
1 u = 252 ÷ 21 = 12
Amount that Michael paid
= 4 u
= 4 x 12
= $48
Answer(s): $48