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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.

Respuesta :

FrancisNg

Answer:

part a

[tex]5r + 4d = 32[/tex]

[tex]r + 6d = 22[/tex]

part b

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

Step-by-step 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

[tex]5r + 4d = 32[/tex]

[tex]5r + 30d = 110[/tex]

subtracting the two,

[tex]26d = 78[/tex]

therefore

[tex]d = 3 dollars[/tex]

find the value of roses,

[tex]5r + 4(3) = 32 \\ 5r = 32 - 12 \\ r = 4[/tex]

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