Question

The ratio of forks to spoons in the cafeteria is 22:33. If there are 44 forks, how many utensils are there altogether?

Answer 1

There would be 73 utensils altogether.

Explanation:

We have the ratio 22:33 and x:44

in order to determine x we need to divide 44 by 22 which leaves us with 1.33333 or 1 and 1/3

we then need to multiply 22 by our quotient of 1.333 in which leaves us with 29.

so x=29

We then have to add 44 and 29 which leaves us with 73;)

Answer 2

110 utensils

Explanation:

Set up equal fractions, and cross-multiply.

`(22 forks)/(33 spoons) = (44 forks)/(x spoons)`

Solve for spoons.

22x = 44*33

22x = 1452

x = 1452/22 = 66 spoons

Now add forks and spoons to get total utensils:

44 forks + 66 spoons = 110 utensils