Question 1201892
x = number of clients for plan A.
y = number of clients for plan B.
you have two equtions that need to be solved simultaneouly.
they are:
4x + 8y = 9 on monday.
2x + 3y = 4 on tuesday.
multiply both sides of the first equation by 2 and leave the first equatio as is to get:
4x + 8y = 9
4x + 6y = 8
subract the second equation from the first to get:
2y = 1
solve for y to get:
y = 1/2 = .5
replace y with .5 in the first equation to get:
4x + 8y = 9 becoms 4x + 4 = 9 which becomes 4x = 5 which results in x = 1.25.
you have:
x = 1.25
y = .5
replace a and y with those values in the original equations to get:
4x + 8y = 9 becomes 4 * 1.25 + 8 * .5 = 9 which becomes 5 + 4 = 9 which is true.
2x + 3y = 4 becomes 2.5 + 1.5 = 4 which is also true.
the values of x and y are confirmed to be good.
your solution is:
plan A workout session lasts 1.25 hours.
plan B workout session lasts .5 hours.