A florist sells roses for $5 each and carnations s for $3 each if she makes a bouquet containing a mixture of 15 roses and carnations and sells it for $61 how many of each flower should she use. ?
Let
x -----> number of roses
y ----> number of carnations
so
we have
x+y=15 -----> x=15-y -----> equation 1
5x+3y=61 -----> equation 2
solve the system
substitute equation 1 in equation 2
5(15-y)+3y=61
solve for y
75-5y+3y=61
2y=75-61
2y=14
y=7
x=15-7
x=8
therefore
roses 8
carnations 7