Question

9. The Strawberry Festival is finally here! Mrs.

Sullivan bought two gourmet pretzels and four
boxes of strawberries for a total cost of $43. Mr.
Hawke bought two gourmet pretzels and two
boxes of strawberries for $30
a. Write the system to represent the situation.
b. Solve the system (using the method of your
choice) to find how much a box of strawberries
cost.

Answer 1

`\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.`Answer:

Explanation:

a)

x= gourmet pretzels

y= boxes of strawberries

system will be:

`\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.`

b)

`\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.`
`\left \{ {{x=21.5-2y \atop {2x+2y=30}} \right.`
`\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.`
`\left \{ {{- \atop {43-4y+2y=30}} \right.`
`\left \{ {{- \atop {-4y+2y=30-43}} \right.`
`\left \{ {{- \atop {-2y=-13}} \right.`
`\left \{ {{- \atop {y=(13)/(2) }} \right.`
`\left \{ {x=21.5-2(6.5)}} \atop {y=6.5}} \right.`
`\left \{ {{x=8.5} \atop {y=6.5}} \right.`

a box of strawberries is 6.5