Question

Kerion has a beaded necklace business. She can make 12 necklaces in 2 hours. How long will it take her to make ten?

Answer 1

Kerion can make 1 necklace every 10 minutes. To make ten necklaces, it would take her 100 minutes, which is equivalent to 1 hour and 40 minutes.

Step-by-step explanation:

To determine how long it will take Kerion to make ten necklaces, we first calculate her rate of production. We know that she can make 12 necklaces in 2 hours. This means she makes 1 necklace every 10 minutes (2 hours = 120 minutes, 120 minutes ÷ 12 necklaces = 10 minutes per necklace).

Therefore, to make ten necklaces, we multiply the time it takes to make one necklace by ten:

10 minutes/neclace × 10 necklaces = 100 minutes

When converted into hours, 100 minutes is equal to 1 hour and 40 minutes. So, it will take Kerion 1 hour and 40 minutes to make ten necklaces.

Answer 2

The answer is 1 hour and 40 minutes.

To find this answer, you should set up a proportion, or two fractions that are equal to one another:

the number of necklaces/the time it takes to make them

The first fraction in the proportion will be 12/2 and the second one will be 10/x, with the goal being to identify x. Now, you should set them equal to one another:

12/2 = 10/x

In a proportion, the first step is to cross multiply:

12 times x = 10 times 2
12x = 20

The second step is to divide to get x by itself on one side of the equation:

12x/12 = 20/12

x = 1.67

To answer the question, the last thing you have to do is convert 1.67 to hours and minutes. The 1 directly correlates to 1 hour, but the decimal needs to be converted to minutes. To do so, you will set up another proportion:

67/100 = x/60

Once you cross multiply and divide, you will end up with 40.2. So, the overall answer is 1 hour and 40 minutes.