Mrs Lu had a sum of money. She gave her mother $2100 and gave
15 of the remaining money to her father. She used
45 of the rest of the money on a portable air-conditioner and was left with
110 of the amount she had at first. What was the sum of money she had at first?
Her mother |
Her father |
Remaining amount |
Total |
$2100 |
1x5 |
4x5 |
|
|
|
Portable Air-conditioner |
Left |
|
|
|
4x4 |
1x4 |
|
9x4 = 36 u |
1x4 = 4 u |
|
15 u |
5 u |
16 u |
4 u |
40 u |
Fraction of the remaining amount left
= 1 -
45=
15The remaining amount is repeated. Make the remaining amount the same. LCM of 4 and 5 is 20.
The amount left is repeated. Make the amount left the same.
15 Remaining amount =
110 Total amount
Amount that Mrs Lu gave to her mother
= 36 u - 5 u - 16 u
= 15 u
15 u = 2100
1 u = 2100 ÷ 15 = 140
Total amount that Mrs Lu had at first
= 15 u + 5 u + 16 u + 4 u
= 40 u
= 40 x 140
= $5600
Answer(s): $5600