Emma had some coin collection.
34 of them were yellow and the rest were purple. She gave away 111 of the purple coins and 50% of the yellow coins. She then had
23 of her coin collection left. How many coins did Emma give away?
| |
Yellow |
Purple |
Total |
Total |
Before
|
3x3 =
9 u |
1x3 =
3 u |
4x3 =
12 u |
3x4 =
12 u |
Change
|
- 1.5x3 =
- 4.5 u |
- 111 |
|
- 1x4 =
- 4 u |
After
|
1.5x3 =
4.5 u |
3 u - 111 |
|
2x4 =
8 u |
The total number of coins that Emma had at first is repeated. Make the total number of coins at first the same. LCM 4 and 3 is 12.
Number of yellow coins that Emma gave away
= 50% x 3 u
=
50100 x 3 u
= 1.5 u
4.5 u - 111 = 4 u
4 u - 4.5 u = 111
-0.5 u = 111
1 u = 111 ÷ -0.5 = -222
Number of coins that Emma gave away
= 4 u
= 4 x -222
= -888
Answer(s): -888
