Question

Lauren is working furiously to knit scarves and beanies for a craft fair next weekend. Yesterday she completed 3 scarves and 1 beanie, using a total of 23 yards of yarn. The day before, she used 27 yards to knit 3 scarves and 3 beanies. Assuming Lauren is using the same pattern and type of yarn for each scarf and beanie, how much yarn does each project require?​

Answer 1

To find out how much yarn each scarf and beanie requires, we need to set up a system of equations based on the given information. Each scarf requires 5 yards of yarn and each beanie requires 4 yards of yarn.

Step-by-step explanation:

To find out how much yarn each scarf and beanie requires, we need to set up a system of equations based on the given information.

Let's say the amount of yarn required for a scarf is 's' yards and the amount of yarn required for a beanie is 'b' yards.

From the information given, we can create the following equations:

3s + b = 23
3s + 3b = 27

We can solve this system of equations using the method of substitution or elimination.

By solving the system, we find that each scarf requires 5 yards of yarn and each beanie requires 4 yards of yarn.