Usha had some coin collection.
18 of them were purple and the rest were brown. She gave away 174 of the brown coins and 20% of the purple coins. She then had
14 of her coin collection left. How many coins did Usha give away?
| |
Purple |
Brown |
Total |
Total |
Before
|
1x1 =
1 u |
7x1 =
7 u |
8x1 =
8 u |
4x2 =
8 u |
Change
|
- 0.2x1 =
- 0.2 u |
- 174 |
|
- 3x2 =
- 6 u |
After
|
0.8x1 =
0.8 u |
7 u - 174 |
|
1x2 =
2 u |
The total number of coins that Usha had at first is repeated. Make the total number of coins at first the same. LCM 8 and 4 is 8.
Number of purple coins that Usha gave away
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
0.2 u - 174 = 6 u
6 u - 0.2 u = 174
5.8 u = 174
1 u = 174 ÷ 5.8 = 30
Number of coins that Usha gave away
= 6 u
= 6 x 30
= 180
Answer(s): 180
