Christina is planning a wedding in a hall that has both regular seating and patio seating. She is trying to decide how to best a

Question

4 years ago

8

Christina is planning a wedding in a hall that has both regular seating and patio seating. She is trying to decide how to best a

rrange the roses and lilies. She has decided that some of the aisles at the wedding will have bouquets of only roses and that some of the aisles will have bouquets of only lilies. She has decided that in each rose aisle in the regular seating area, she wants there to be 2 less bouquets of roses than there are roses in each bouquet.
There will be 8 rose aisles and one aisle with 4 bouquets of lilies in the regular seating area. The patio seating area will have one aisle with 5 bouquets of roses and one aisle with 7 bouquets of lilies. Christina plans on using 80 total flowers in the regular seating aisles and 75 total flowers in the patio seating aisles. Christina wants to apply these numbers to determine how many flowers will go in the bouquets if all of the rose bouquets have an equal number of roses and all the lily bouquets have an equal number of lilies.

Create a system of equations to model the situation above, and use it to determine how many of the solutions are viable.

Note: Christina wants the number of flowers to be as close to her specifications as possible, but the solution does not need to include whole numbers in order to be considered viable.

a. There are 2 solutions and neither are viable.

b. There are 2 solutions and only 1 is viable.

c. There is only 1 solution and it is viable.

d. There are 2 solutions and both are viable.

Mathematics