Anna baked a total of 273 tarts and shortbreads. After giving away 75% of the shortbreads and 80% of the tarts, she was left with five times as many shortbreads as tarts. Find the number of tarts Anna gave away.
| |
Shortbreads |
Tarts |
| Before |
4x5 =
20 u
|
5 u |
| Change |
- 3x5 =
15 u |
- 4 u |
| After |
1x5 =
5 u |
1 u |
Comparing shortbreads and
tarts in the end |
5x1 =
5 u |
1x1 =
1 u |
75% =
75100 =
3480% =
80100 =
45The number of shortbreads in the end is the repeated identity. Make the number of shortbreads in the end the same. LCM of 1 and 5 is 5.
Total number of pastries at first
= 20 u + 5 u
= 25 u
25 u = 273
1 u = 273 ÷ 25 = 9
Number of tarts that Anna gave away
= 4 u
= 4 x 9
= 36
Answer(s): 36
