Joy is making hand-painted ornaments for her family this year. Yesterday, she made 2 ornaments in 6 hours. This weekend, she plans to spend a total of 15 hours making ornaments.

Question

If Joy works at the same rate, how many ornaments will she make this weekend?

Answer 1

To find out how many ornaments Joy will make this weekend, we first need to determine her ornament-making rate based on the time she spent yesterday.

Joy made 2 ornaments in 6 hours. To find her rate of making ornaments, we calculate:

$$\text{Rate}=\frac{\text{Number of ornaments}}{\text{Time in hours}}=\frac{2\text{ ornaments}}{6\text{ hours}}=\frac{1\text{ ornament}}{3\text{ hours}}$$

This means Joy makes 1 ornament every 3 hours.

Next, we need to determine how many ornaments she can make in the 15 hours she plans to work this weekend. We can first find how many 3-hour intervals are in 15 hours:

$$\text{Number of intervals}=\frac{15\text{ hours}}{3\text{ hours per ornament}}=5$$

Since she completes one ornament in each 3-hour interval, the number of ornaments Joy can make in 15 hours is:

$$\text{Number of ornaments}=5$$

Thus, Joy will make a total of 5 ornaments this weekend.