Luke, Justin, Tim and Will paid a total of $45 for a souvenir. Will paid
45 of what the rest paid. Luke paid 50% of what the rest paid. Justin and Tim paid an equal amount of money. How much did Tim pay?
Luke |
Justin |
Tim |
Will |
Total |
5x1 |
4x1 |
9x1 |
1x3 |
2x3 |
3x3 |
|
1 |
1 |
|
|
3 u |
1 u |
1 u |
4 u |
9 u |
50%=
50100=
12 Luke's share : Total share = 1 : 2
The total amount paid for the souvenir is repeated. Make the total amount the same. LCM of 9 and 3 is 9.
Amount that Justin, Tim and Will paid = 6 u
Amount that Justin and Tim paid
= 6 u - 4 u
= 2 u
The amount that Justin and Tim each paid is the same.
Amount that Justin and Tim each paid
= 2 u ÷ 2
= 1 u
Cost of the souvenir = 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Amount that Tim paid
= 1 u
= 1 x 5
= $5
Answer(s): $5