SOLUTION: I NEED HELP WITH THIS QUESTION, PLEASE HELP ME FIND THE FULL ANSWER!
Linda the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client doe
Algebra.Com
Question 1104624: I NEED HELP WITH THIS QUESTION, PLEASE HELP ME FIND THE FULL ANSWER!
Linda 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
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. How long does each of the workout plans last?
LENGTH OF EACH PLAN A WORK OUT:
LENGTH OF EACH PLAN B WORK OUT:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
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
subtract the first equation from the second to get 2x = 1
solve for x to get x = .5
go back to the first original equation of 3x + 2y = 4 and solve for y to get y = 1.25
go back to the second original equation of 8x + 4y = 9 and replace x with .5 and y with 1.25 to get 8 * .5 + 4 * 1.25 = 9
simplify it to get 4 + 5 = 9 which is true.
this confirms the solution is correct.
the solution is:
the length of a plan A workout is .5 hours.
the length of a plan B workout is 1.25 hours.
RELATED QUESTIONS
Hi need help with this question, am in year 5.
COuld you please also show me the full... (answered by htmentor)
Yoko the trainer has two solo workout plans that she offers her clients: Plan A and Plan... (answered by josgarithmetic)
Susan the trainer has two solo workout plans that she offers her clients: Plan A and Plan (answered by Theo)
Charmaine the trainer has two solo workout plans that she offers her clients: Plan A and... (answered by josmiceli)
Latoya the trainer has two solo workout plans that she offers her clients: Plan A and... (answered by greenestamps)
Yoko the trainer has two solo workout plans that she offers her clients: Plan A and Plan... (answered by ikleyn)
Yoko the trainer has two solo workout plans that she offers her clients: Plan A and Plan... (answered by josgarithmetic)
Yoko the trainer has two solo workout plans that she offers her clients: Plan A and Plan... (answered by greenestamps)
Yoko the trainer has two solo workout plans that she offers her clients: Plan A and Plan... (answered by josgarithmetic)