Natalie baked a total of 310 tarts and cookies. After giving away 75% of the cookies and 90% of the tarts, she was left with five times as many cookies as tarts. Find the number of tarts Natalie gave away.
| |
Cookies |
Tarts |
| Before |
4x5 =
20 u
|
10 u |
| Change |
- 3x5 =
15 u |
- 9 u |
| After |
1x5 =
5 u |
1 u |
Comparing cookies and
tarts 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 = 310
1 u = 310 ÷ 30 = 6
Number of tarts that Natalie gave away
= 9 u
= 9 x 6
= 54
Answer(s): 54
