27 of the people in a museum are girls.
15 of the remainder are boys and the rest are adults. There are 420 more adults than boys. How many people are there in the museum altogether?
Girls |
Boys |
Adults |
Total |
2 |
5 |
7 |
|
1 |
4 |
|
2 u |
1 u |
4 u |
7 |
Fraction of the people that are boys and adults
= 1 -
27 =
57 Fraction of the remaining people that are adults
= 1 -
15 =
45 Total number of people = 7 u
Number of girls = 2 u
Number of boys = 1 u
Number of adults = 4 u
Number of more adults than boys
= 4 u - 1 u
= 3 u
3 u = 420
1 u = 420 ÷ 3 = 140
Total number of people
= 7 u
= 7 x 140
= 980
Answer(s): 980