Will melissa 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 monday there were 3 clients who did plan a and 2 who did plan b. on tuesday there were 5 clients who did plan a and 6 who did plan b. melissa trained her monday clients for a total of 3 hours and her tuesday clients for a total of 7 hours. how long does each of the workout plans last?

3

clients who did Plan A and

2

who did Plan B. On Tuesday there were

8

clients who did Plan A and

4

who did Plan B. Linda trained her Monday clients for a total of

4

hours and her Tuesday clients for a total of

9

hours.

Step-by-step explanation:

let x equal the number of hours for each plan A workout.

let y equal the number of hours for each plan B workout.

on monday, there were 3 clients who did plan A workout and 2 clients who did plan B workout for a total of 4 hours.

the formula for monday becomes 3x + 2y = 4

on tuesday, there were 8 clients who did plan A workout and 4 clients who did plan B workout for a total of 9 hours.

the formula for tuesday becomes 8x + 4y = 9

you have to solve these 2 equations simultaneously.

they are:

3x + 2y = 4

8x + 4y = 9

multiply both sides of the first equation by 2 and leave the second equation as is to get:

6x + 4y = 8

8x + 4y = 9

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