Which fraction is a unit rate you can use to solve a ratio problem?

27 over 1

3 over 4

7 over 5

1 over 27

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

1 over 27

Jamal is creating toys to sell. He is averaging 8 toys every 5 days. If he continues at this rate, how many days will it take to fill an order of 75? Round to the nearest whole number of days.

10 days

120 days

375 days

47 days

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

We can set up a proportion to solve this problem. Let x represent the number of days it will take to fill the order of 75 toys.

We have the proportion:

8 toys / 5 days = 75 toys / x days

Now we can cross-multiply and solve for x:

8x = 75 * 5

8x = 375

x = 375 / 8

x ≈ 46.875

Rounded to the nearest whole number, it will take approximately 47 days to fill the order of 75 toys. Therefore, the correct answer is 47 days.

Ramon makes 33 donuts every 7 hours. Using a unit rate, determine how many whole donuts he would make in 5 hours.

Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

To find the unit rate, we divide the number of donuts by the number of hours.

The unit rate is 33 donuts / 7 hours.

To determine the number of donuts Ramon would make in 5 hours, we multiply the unit rate by the number of hours.

33 donuts / 7 hours * 5 hours = 165 donuts

Ramon would make 165 whole donuts in 5 hours.

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