Question

The centralville high school cooking club has 12 1/2 pounds of flour with which to make tortillas, there are 3 3/4 cubs of flour in one pound, and it takes about 1/3 cup of flour per tortilla, how many tortillas can they make?

Answer 1

140

Explanation:

Given conversion ratio is:
`1^("lb")color(white)("d") :color(white)("d")3 3/4" cups"`

But the clube has `12 1/2color(white)()^("lb")` of flour. Thus to change the pounds in the ratio to match the amount available multiply everything in the ratio by `12 1/2`

`12 1/2 (1^("lb")color(white)("d") :color(white)("d")3 3/4" cups")color(white)("d")-> 12 1/2 color(white)()^("lb")color(white)("d") :color(white)("d")46 7/8" cups"`

Now we knoe the amount of flour available is `46 7/8 "cups"`

Each tortilla takes `1/3` cups so the count of tortillas is
`(46 7/8 cancel("cups"))/(1/3 cancel("cups")) = 46 7/8 xx3 = 140 5/8`

You can not make part of a tortilla so the final count is 140