Solve the problem.
-A textile company has specific dyeing and drying times for its different cloths. A roll of Cloth A requires 55 minutes of dyeing time and 45 minutes of drying time. A roll of Cloth B requires 60 minutes of dyeing time and
30 minutes of drying time. The production division allocates 2280 minutes of dyeing time and 1560 minutes of
Drying time for the week. How many rolls of each cloth can be dyed and dried?
A)13 rolls of Cloth A, 28 rolls of Cloth B
B)24 rolls of Cloth A, 16 rolls of Cloth B
C)2 rolls of Cloth A, 49 rolls of Cloth B
D)13 rolls of Cloth A, 40 rolls of Cloth B

Question

Quizplus · Accepted Answer

To solve this, we set up a system of equations based on the given information. Let $x$ be the number of rolls of Cloth A and $y$ be the number of rolls of Cloth B. The equations based on dyeing and drying times are:$$55x + 60y = 2280$$ (dyeing time)$$45x + 30y = 1560$$ (drying time)Solving this system of equations, we find that $x = 24$ and $y = 16$, which corresponds to 24 rolls of Cloth A and 16 rolls of Cloth B.

Solve the Problem. -A Textile Company Has Specific Dyeing and Drying Times for Drying