Question

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Two tailors, Danielle and Tammy, sit down to do some embroidery. Danielle can embroider 6 shirts per hour, and Tammy can get through 4 shirts per hour. In addition, the tailors had previously finished some shirts. Danielle has already completed 9 shirts, and Tammy has completed 11 shirts. Danielle and Tammy decide to take a break when they have finished the same total number of shirts. How many shirts, in total, will each tailor have finished? How long will that take?

Answer 1

Danielle and Tammy will each have finished 15 shirts in total, and it will take 1 hour.

Step-by-step explanation:

To describe the situation, we can use the following system of equations:

Danielle: D = 6h + 9

Tammy: T = 4h + 11

Using substitution, we can equate the two equations:

6h + 9 = 4h + 11

2h = 2

h = 1

Substituting the value of h back into the equations:

Danielle: D = 6(1) + 9 = 15

Tammy: T = 4(1) + 11 = 15

Therefore, each tailor will have finished 15 shirts in total, and it will take 1 hour to finish them.