Samuel and Randi are placemat weavers. Samuel can weave 7 placemats in 8 hours. Randi can weave 5 placemats in 4 hours. How many placemats can they make in 5 days if they worked 8 hours each day?

85 placemats

Step-by-step explanation:

Let’s split it into three parts: how much Samuel can weave, how much Randi can weave, and how much they can weave in total

Part 1: Samuel

First, let’s figure out how much Samuel can weave!

First, we know that Samuel can weave 7 placemats in 8 hours (1 day). So, if he weaved placemats for 5 days, then:

= 7 x 5

= 35

Therefore, Samuel weaved 35 placemats in 5 days if he worked 8 hours each day.

Part 2: Randi

We know that Randi makes 5 placemats in 4 hours, which is half, a day. But lets figure out how many placemats he can make it a day.

All we have to do is multiply by two.

= 5 x 2

= 10

So, we now know that he can make 10 placemats in a day. Now, let’s see how many placemats he can make in five days.

= 10 x 5

= 50

Therefore, Randi weaved 50 placemats in 5 days if he worked 8 hours each day.

Part 3: Adding Them

Now, we have 35 placemats from Samuel and 50 placements from Randi. So, we have to add them.

= 35 + 50

= 85

Therefore, Randi and Samuel can make 85 placemats in 5 days together if they work 8 hours each day.

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.