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?

Question

Eli Assouline · Accepted Answer

140

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

Avery Alexander · Answer

undefined To find the number of tortillas the cooking club can make, we need to calculate the total amount of flour available and then divide it by the amount of flour required per tortilla.

First, we convert 12 1/2 pounds of flour to cups by multiplying it by 3 3/4 cups per pound:
12 1/2 pounds * 3 3/4 cups/pound = 46 7/8 cups

Next, we divide the total amount of flour by the amount of flour required per tortilla (1/3 cup):
46 7/8 cups / 1/3 cup = 140 2/3 tortillas

Therefore, the cooking club can make approximately 140 2/3 tortillas.