Daniel, Zeph, Pierre and Albert paid a total of $450 for a souvenir. Albert paid
45 of what the rest paid. Daniel paid 25% of what the rest paid. Zeph and Pierre paid an equal amount of money. How much did Pierre pay?
Daniel |
Zeph |
Pierre |
Albert |
Total |
5x5 |
4x5 |
9x5 |
1x9 |
4x9 |
5x9 |
|
1 |
1 |
|
|
9 u |
8 u |
8 u |
20 u |
45 u |
25%=
25100=
14 Daniel's share : Total share = 1 : 4
The total amount paid for the souvenir is repeated. Make the total amount the same. LCM of 9 and 5 is 45.
Amount that Zeph, Pierre and Albert paid = 36 u
Amount that Zeph and Pierre paid
= 36 u - 20 u
= 16 u
The amount that Zeph and Pierre each paid is the same.
Amount that Zeph and Pierre each paid
= 16 u ÷ 2
= 8 u
Cost of the souvenir = 45 u
45 u = 450
1 u = 450 ÷ 45 = 10
Amount that Pierre paid
= 8 u
= 8 x 10
= $80
Answer(s): $80