Question

Flowers - Samantha and Maria purchased flowers. Samantha bought five roses for "r" dollars each and four daises for "d" dollars each. Altogether, Samantha spent $32 on flowers. Maria purchased one rose for "r" dollars apiece and six daisies for "d" dollars apiece - spending $22 total.

a) Write a system of equations (two linear equations) using appropriate variables.

b) Solve the system to find the cost of roses and daisies. Use any strategy that you've learned.

Answer 1

part a

`5r + 4d = 32`

`r + 6d = 22`

part b

the value of roses is 4 dollars a pieces and that of daisies is 3 bucks a piece

Explanation:

part a

for part a just denote r for roses and rerecord the question in terms of a function of roses and daisies the right hand side should be the prices or cost

part b

solve the two equations simultaneously or by substitution.

let's do simultaneous

multiply the secondequation by 5

`5r + 4d = 32`

`5r + 30d = 110`

subtracting the two,

`26d = 78`

therefore

`d = 3 dollars`

find the value of roses,

`5r + 4(3) = 32 \\ 5r = 32 - 12 \\ r = 4`