Mrs Ma had a sum of money. She gave her niece $864 and gave
16 of the remaining money to her father. She used
56 of the rest of the money on a dishwasher and was left with
19 of the amount she had at first. What was the sum of money she had at first?
| Her niece |
Her father |
Remaining amount |
Total |
| $864 |
1x6 |
5x6 |
|
| |
|
Dishwasher |
Left |
|
| |
|
5x5 |
1x5 |
|
8x5 =
40 u |
1x5 =
5 u |
|
| 9 u |
6 u |
25 u |
5 u |
45 u |
Fraction of the remaining amount left
= 1 -
56=
16The remaining amount is repeated. Make the remaining amount the same. LCM of 5 and 6 is 30.
The amount left is repeated. Make the amount left the same.
16 Remaining amount =
19 Total amount
Amount that Mrs Ma gave to her niece
= 40 u - 6 u - 25 u
= 9 u
9 u = 864
1 u = 864 ÷ 9 = 96
Total amount that Mrs Ma had at first
= 9 u + 6 u + 25 u + 5 u
= 45 u
= 45 x 96
= $4320
Answer(s): $4320
