Question

Chanda can bake and decorate 72 cookies in 2.5 hours. At this rate,how long will it take her to bake and decorate 108 cookies?

A. 3.75 hours

B. 43.2 hours

C. 36 hours

D.14.4 hours

please help if you can,and thank you very much if you do!​

Answer 1

Chanda will take 3.75 hours to bake and decorate 108 cookies.

Step-by-step explanation:

To find out how long it will take Chanda to bake and decorate 108 cookies, we need to set up a proportion.

From the given information, we know that Chanda can bake and decorate 72 cookies in 2.5 hours. We can set up the proportion as:

72 cookies / 2.5 hours = 108 cookies / x hours

To solve for x, we can cross-multiply and solve for x:

72x = 108 * 2.5

Divide both sides by 72:

x = (108 * 2.5) / 72

Simplify:

x = 3.75

Therefore, it will take Chanda 3.75 hours to bake and decorate 108 cookies.

Answer 2

Hello there! A. 3.75 hours is your answer.

Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.

total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)

72 ÷ 2.5 = 28.8 cookies an hour

Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.

180 cookies ÷ x time = 28.8

Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.

180 ÷ 3.75 = 28.8.

So, this is your correct answer.