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.

45 kilograms of dough will take 9 hours

Step-by-step 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