Hazel baked a total of 499 scones and cookies. After giving away 75% of the cookies and 90% of the scones, she was left with five times as many cookies as scones. Find the number of scones Hazel gave away.
| |
Cookies |
Scones |
| Before |
4x5 =
20 u
|
10 u |
| Change |
- 3x5 =
15 u |
- 9 u |
| After |
1x5 =
5 u |
1 u |
Comparing cookies and
scones in the end |
5x1 =
5 u |
1x1 =
1 u |
75% =
75100 =
3490% =
90100 =
910The number of cookies in the end is the repeated identity. Make the number of cookies in the end the same. LCM of 1 and 5 is 5.
Total number of pastries at first
= 20 u + 10 u
= 30 u
30 u = 499
1 u = 499 ÷ 30 = 12
Number of scones that Hazel gave away
= 9 u
= 9 x 12
= 108
Answer(s): 108
