Kathy baked 30 scones.
35 of the scones were mocha scones. The rest were chocolate scones. She gave an equal number of mocha scones and chocolate scones away and had 4 times as many mocha scones as chocolate scones left. How many scones did she give away?
| |
Mocha scones |
Chocolate scones |
Difference |
| Before |
3x3 =
9 u |
2x3 =
6 u |
1x3 =
3 u |
| Change |
- 5 u |
- 5 u |
|
| After |
4x1 =
4 u |
1x1 =
1 u |
3x1 =
3 u |
Since Kathy gave away an equal number of mocha scones and chocolate scones, the difference in the number of mocha scones and chocolate scones remains unchanged. Make the difference in the mocha scones and chocolate scones the same. LCM of 1 and 3 is 3.
Total number of scones at first
= 9 u + 6 u
= 15 u
15 u = 30
1 u = 30 ÷ 15 = 2
Number of scones that Kathy gave away
= 5 u + 5 u
= 10 u
= 10 x 2
= 20
Answer(s): 20
