Mrs Tang had a sum of money. She gave her nephew $476 and gave
14 of the remaining money to her daughter. She used
45 of the rest of the money on a portable air-conditioner and was left with
19 of the amount she had at first. What was the sum of money she had at first?
Her nephew |
Her daughter |
Remaining amount |
Total |
$476 |
1x5 |
3x5 |
|
|
|
Portable Air-conditioner |
Left |
|
|
|
4x3 |
1x3 |
|
8x3 = 24 u |
1x3 = 3 u |
|
7 u |
5 u |
12 u |
3 u |
27 u |
Fraction of the remaining amount left
= 1 -
45=
15The remaining amount is repeated. Make the remaining amount the same. LCM of 3 and 5 is 15.
The amount left is repeated. Make the amount left the same.
15 Remaining amount =
19 Total amount
Amount that Mrs Tang gave to her nephew
= 24 u - 5 u - 12 u
= 7 u
7 u = 476
1 u = 476 ÷ 7 = 68
Total amount that Mrs Tang had at first
= 7 u + 5 u + 12 u + 3 u
= 27 u
= 27 x 68
= $1836
Answer(s): $1836