Question

@ali2x2





Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy? Solve your inequality by showing your work and steps.

Answer 1

starts with 18
spends 4.25

18 - 4.25

spends .50 on each cracker

18 - 4.25 - 0.50*(#crackers)

all that should be greater than or equal to 9.75, the amount she needs to keep

Answer 2

18 - 4.25 - 0.50*(#crackers) is greater than or equal to 9.75

solve for (#crackers)

Answer 3

or, i could just tell you

Answer 4

no it is fine so what do I put?

Answer 5

starts with 18
spends 4.25

left with 13.75

spends 0.50 per crackers ---0.50*(#crackers)

wants at least 9.75 left over

13.75 - 0.50*(#crackers) >= 9.75

Answer 6

\[13.75−9.75≥0.5∗(crackers)\]

Answer 7

13.75 - 0.50*(#crackers) >= 9.75

add 0.50*(crackers) to each side

13.75 >= 9.75 + 0.5*(crackers)

subtract 9.75 from both sides

4 >= 0.5*(crackers)

divide by 0.5 on both sides

8 >= (crackers)

eight is greater than or equal to the amount of crackers