Anna baked 40 tarts.
58 of the tarts were peach tarts. The rest were strawberry tarts. She gave an equal number of peach tarts and strawberry tarts away and had 2 times as many peach tarts as strawberry tarts left. How many tarts did she give away?
|
Peach tarts |
Strawberry tarts |
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 Anna gave away an equal number of peach tarts and strawberry tarts, the difference in the number of peach tarts and strawberry tarts remains unchanged. Make the difference in the peach tarts and strawberry tarts the same. LCM of 2 and 1 is 2.
Total number of tarts at first
= 5 u + 3 u
= 8 u
8 u = 40
1 u = 40 ÷ 8 = 5
Number of tarts that Anna gave away
= 1 u + 1 u
= 2 u
= 2 x 5
= 10
Answer(s): 10