On Monday, there were 40 more children than adults at the fair. On Tuesday, the number of children increased by 55% and the number of adults increased by 65%. There were 510 people on Tuesday. How many children were there on Monday?
|
Children |
Adults |
Total |
Comparing children and adults at first |
40 more |
|
|
Before |
20 u |
+ 40 |
20 u |
|
Change |
+ 11 u |
+ 22 |
+ 13 u |
|
After |
31 u |
+ 62 |
33 u |
510 |
55% =
55100 =
1120 55% x 40 =
1120 x 40 = 22
40 + 22 = 62
65% =
65100 =
1320 Total number of people on Tuesday
= 31 u + 62 + 33 u
= 64 u + 62
64 u + 62 = 510
64 u = 510 - 62
64 u = 448
1 u = 448 ÷ 64 = 7
Number of children on Monday
= 20 u + 40
= 20 x 7 + 40
= 140 + 40
= 180
Answer(s): 180