Question

Billy‘s restaurant ordered 200 flowers for Mother’s Day. They ordered carnations at one dollar each, roses at two dollars each,And daisies at $3 each.They ordered mostly carnations,and 20 fewer roses than daisies.The total order cam to $500.how many of each type of flower was ordered

Answer 1

Data

• Total flowers: 200 flowers

,

• Carnations (c): $1

,

• Roses (r): $2

,

• Daisies (d): $3

,

• They ordered mostly carnations

,

• 20 fewer roses than daisies

,

• Total order: $500

Procedure

Building our equations

• Equation 1

`c+r+d=200`

• Equation 2

`r=d-20`

• Equation 3

`c+2r+3d=500`

We can replace Equation 2 in Equation 1 and solve for c:

`c+(d-20)+d=200`
`c+d-20+d=200`
`c+2d=200+20`