Judith is making muffins. She needs 2 cups of flour for a recipe that makes 24 muffins. If she wants to make 60 muffins, how many cups of flour does she need?

for 24 muffins she needs 2 cups

for 1 muffin she needs 2/24 = 1/12 cups

for 60 muffins she needs 1/12*60 = 5 cups flour.

Step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

236 cm 16 time 12 = 192

6 times 7 = 42

192+42