Question

A theater can hold 120 giants or 144 elves. If 90 giants are already inside, how many elves can also be admitted?

Answer 1

36

Explanation:

make proportion giants to elves

120/144 = 90/x cross multiply

120x =144*90

120x =12960 divide by 120

x = 108

so if there are 90 giants in the theater there are 108 elves also

considering that total 144 elves can be in the theater subtract 144 and 108 so 36 more elves can be admitted

Answer 2

36 elves

Explanation:

Using proportions

We have space for 30 more giants

30 giants x elves

------------- = ----------

120 full 144 elves full

Using cross products

30*144 = x*120

Divide each side by 120

30*144/120 = 120x/120

36 = x

We can have 36 elves