Question

Cindy sells umbrellas in a shop. She can sell 10 umbrellas on a sunny

day and 25 umbrellas on a rainy day. If Cindy sold 115 umbrellas last
week, write and solve a system of equations in order to find:
How many sunny days there were last week? sunny days
How many rainy days there were last week rainy days

Answer 1

We cannot determine the number of sunny days and rainy days with the given information.

Step-by-step explanation:

Let's assume that there were x sunny days and y rainy days last week.

According to the given information, Cindy sells 10 umbrellas on a sunny day and 25 umbrellas on a rainy day. So, the total number of umbrellas sold on sunny days would be 10x and on rainy days would be 25y.

We are given that a total of 115 umbrellas were sold last week, so we can write the following system of equations:

10x + 25y = 115 (equation 1)

x + y = 65 (equation 2)

Solving this system of equations, we can find the values of x and y.

Multiplying equation 2 by 10, we get 10x + 10y = 650. Subtracting this equation from equation 1, we can eliminate x and solve for y:

10x + 25y - (10x + 10y) = 115 - 650

15y = -535

y = -35.67

Since the number of rainy days cannot be negative, we can conclude that there was an error or typo in the given information or calculations.

Therefore, we cannot determine the number of sunny days and rainy days with the given information.