Mrs Heng had a sum of money. She gave her daughter $164 and gave
16 of the remaining money to her father. She used
78 of the rest of the money on a dishwasher and was left with
110 of the amount she had at first. What was the sum of money she had at first?
Her daughter |
Her father |
Remaining amount |
Total |
$164 |
1x8 |
5x8 |
|
|
|
Dishwasher |
Left |
|
|
|
7x5 |
1x5 |
|
9x5 = 45 u |
1x5 = 5 u |
|
2 u |
8 u |
35 u |
5 u |
50 u |
Fraction of the remaining amount left
= 1 -
78=
18The remaining amount is repeated. Make the remaining amount the same. LCM of 5 and 8 is 40.
The amount left is repeated. Make the amount left the same.
18 Remaining amount =
110 Total amount
Amount that Mrs Heng gave to her daughter
= 45 u - 8 u - 35 u
= 2 u
2 u = 164
1 u = 164 ÷ 2 = 82
Total amount that Mrs Heng had at first
= 2 u + 8 u + 35 u + 5 u
= 50 u
= 50 x 82
= $4100
Answer(s): $4100