Answer: 45 kilograms of dough will take 9 hours
Explanation:
Beth prepared 20 kilograms of dough after working 4 hours. How many hours did Beth work if she prepared 45 kilograms of dough? Solve using unit rates. Let's take it step by step
If Beth prepared 20kilograms of dough in 4 hours, then beth produced 1 kilogram of dough in x hours
20 kilograms = 4hours
1kilogram = x hours
Cross multiplying
x × 20 = 4 × 1
20x = 4
x = 4/20= 1/5 kilograms per hour
To prepare 45 kilograms of dough,
We multiply by the unit rate. This means
1 kilogram = 1/5 hours
45 kilogram =
45 × 1/5
=45/5
= 9 hours