On Saturday, there were 20 more children than adults at the bowling alley. On Sunday, the number of children increased by 65% and the number of adults increased by 55%. There were 545 people on Sunday. How many children were there on Saturday?
|
Children |
Adults |
Total |
Comparing children and adults at first |
20 more |
|
|
Before |
20 u |
+ 20 |
20 u |
|
Change |
+ 13 u |
+ 13 |
+ 11 u |
|
After |
33 u |
+ 33 |
31 u |
545 |
65% =
65100 =
1320 65% x 20 =
1320 x 20 = 13
20 + 13 = 33
55% =
55100 =
1120 Total number of people on Sunday
= 33 u + 33 + 31 u
= 64 u + 33
64 u + 33 = 545
64 u = 545 - 33
64 u = 512
1 u = 512 ÷ 64 = 8
Number of children on Saturday
= 20 u + 20
= 20 x 8 + 20
= 160 + 20
= 180
Answer(s): 180