Question

Jen is using ribbon to create girls' hair barrettes. For a craft fair in Newberry, she made 14 small barrettes and 10 large barrettes, using a total of 150 yards of ribbon. Then, for another craft fair in Oakland, she made 10 small barrettes and 13 large barrettes, which used a total of 154 yards. How many yards of ribbon does Jen use for each?

Answer 1

Jen used 6 yards of ribbon for each small barrette and 10 yards of ribbon for each large barrette.

Step-by-step explanation:

To solve this problem, we need to set up a system of equations. Let's use x to represent the number of yards of ribbon used for each small barrette, and y to represent the number of yards of ribbon used for each large barrette.

From the information given in the first craft fair:

14x + 10y = 150

From the information given in the second craft fair:

10x + 13y = 154

We can solve this system of equations to find the values of x and y.

After solving, we find that x = 6 and y = 10. Therefore, Jen used 6 yards of ribbon for each small barrette and 10 yards of ribbon for each large barrette.