Elsa the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Friday there were 4 clients who did Plan A and 8 who did Plan B. On Saturday there were 2 clients who did Plan A and 3 who did Plan B. Elsa trained her Friday clients for a total of 9 hours and her Saturday clients for a total of 4 hours. How long does each of the workout plans last?

plan A lasts for 1.25 hours.

Plan B lasts for 0.5 hour.

Step-by-step explanation:

Let x represent the number of hours that plan A lasts.

Let y represent the number of hours that plan B lasts.

On Friday there were 4 clients who did Plan A and 8 who did Plan B. Elsa trained her Friday clients for a total of 9 hours. This means that

4x + 8y = 9 - - - - - - - - - - - - -1

On Saturday there were 2 clients who did Plan A and 3 who did Plan B. Elsa trained her Saturday clients for a total of 4 hours. This means that

2x + 3y = 4 - - - - - - - - - - - 2

Multiplying equation 1 by 1 and equation 2 by 2, it becomes

4x + 8y = 9

4x + 6y = 8

Subtracting, it becomes

2y = 1

y = 1/2 = 0.5

Substituting y = 0.5 into equation 1, it becomes

4x + 8 × 0.5 = 9

4x + 4 = 9

4x = 9 - 4 = 5

x = 5/4

x = 1.25

to find the unit price of an object, you divide the price by object. you are trying to find out how much an object cost per unit.

for instance, lets say you have 50lb of ice cream(object) that cost 8.00 dollars(price). to find the unit cost, we take the 8.00 and divide it by 50, which will give us .16 cents per pound. we can check this by multiplying .16 by 50 = 8.00

so

object = e2

price = d2

unit price = c2

formula for c2:

=d2 / e2

so in my example about ice cream, we would have the following.

e2 = 50

d2 = 8.00

c2 formula:

=d2 / e2