Cathy baked 72 scones.
58 of the scones were matcha scones. The rest were peach scones. She gave an equal number of matcha scones and peach scones away and had 2 times as many matcha scones as peach scones left. How many scones did she give away?
| |
Matcha scones |
Peach scones |
Difference |
| Before |
5x1 =
5 u |
3x1 =
3 u |
2x1 =
2 u |
| Change |
- 1 u |
- 1 u |
|
| After |
2x2 =
4 u |
1x2 =
2 u |
1x2 =
2 u |
Since Cathy gave away an equal number of matcha scones and peach scones, the difference in the number of matcha scones and peach scones remains unchanged. Make the difference in the matcha scones and peach scones the same. LCM of 2 and 1 is 2.
Total number of scones at first
= 5 u + 3 u
= 8 u
8 u = 72
1 u = 72 ÷ 8 = 9
Number of scones that Cathy gave away
= 1 u + 1 u
= 2 u
= 2 x 9
= 18
Answer(s): 18
