Natalie baked 16 muffins.
58 of the muffins were mocha muffins. The rest were strawberry muffins. She gave an equal number of mocha muffins and strawberry muffins away and had 2 times as many mocha muffins as strawberry muffins left. How many muffins did she give away?
|
Mocha muffins |
Strawberry muffins |
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 Natalie gave away an equal number of mocha muffins and strawberry muffins, the difference in the number of mocha muffins and strawberry muffins remains unchanged. Make the difference in the mocha muffins and strawberry muffins the same. LCM of 2 and 1 is 2.
Total number of muffins at first
= 5 u + 3 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Number of muffins that Natalie gave away
= 1 u + 1 u
= 2 u
= 2 x 2
= 4
Answer(s): 4