Question

A florist plans to make 5 Identical bridesmaid bouquets for a weeding. She budgeted £ 610 and she want to 24 flowers for each bouquet. She want to use three types of flowers namely; roses, tulips and lilies . A survey of prices shows roses cost £6, tulips £4 and lilies £3 respectively. She want to have twice as many roses as the other two flowers combined in each bouquet. Use matrix algebra to find the number of roses, tulips and lilies she as buy.

Answer 1

R, T, L are the flowers in each bouquet
total budget per bouqet=cost of flowers/per bouquet
610/5=R*6 + T*4 + L*3
R=2(T+L)
24=R+T+L
that are three unknowns, three equations.
R....T.....L.....=
1... 1....1.....24
1...-2...-2.....0
6....4....3....122

I put these into my calculator, http://www.wolframalpha.com/widgets/view.jsp?id=db5bdc8ad46ab6087d9cdfd8a8662ddf

Answer 2

and the answers you get are for each bunch, for totals, you have to multiply by five.