Lucy had some coin collection.
18 of them were pink and the rest were yellow. She gave away 178 of the yellow coins and 50% of the pink coins. She then had
17 of her coin collection left. How many coins did Lucy give away?
| |
Pink |
Yellow |
Total |
Total |
Before
|
1x7 =
7 u |
7x7 =
49 u |
8x7 =
56 u |
7x8 =
56 u |
Change
|
- 0.5x7 =
- 3.5 u |
- 178 |
|
- 6x8 =
- 48 u |
After
|
0.5x7 =
3.5 u |
49 u - 178 |
|
1x8 =
8 u |
The total number of coins that Lucy had at first is repeated. Make the total number of coins at first the same. LCM 8 and 7 is 56.
Number of pink coins that Lucy gave away
= 50% x 1 u
=
50100 x 1 u
= 0.5 u
3.5 u - 178 = 48 u
48 u - 3.5 u = 178
44.5 u = 178
1 u = 178 ÷ 44.5 = 4
Number of coins that Lucy gave away
= 48 u
= 48 x 4
= 192
Answer(s): 192
