Erika baked a total of 407 tarts and cookies. After giving away 80% of the cookies and 90% of the tarts, she was left with five times as many cookies as tarts. Find the number of tarts Erika gave away.
| |
Cookies |
Tarts |
| Before |
5x5 =
25 u
|
10 u |
| Change |
- 4x5 =
20 u |
- 9 u |
| After |
1x5 =
5 u |
1 u |
Comparing cookies and
tarts in the end |
5x1 =
5 u |
1x1 =
1 u |
80% =
80100 =
4590% =
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
= 25 u + 10 u
= 35 u
35 u = 407
1 u = 407 ÷ 35 = 5
Number of tarts that Erika gave away
= 9 u
= 9 x 5
= 45
Answer(s): 45
