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

36

Step-by-step 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

36 elves

Step-by-step 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

The side length was multiplied by 5.

Step-by-step explanation:

Area of square =

We are given that the area of square is

So,

So, the side of original square is A.

Area of square =

Area of enlarged square =

So,

So, the side of enlarged square is 5A.

So, the side of the enlarged square is 5 times the side of the original square.

Thus Option B is true .

The side length was multiplied by 5.