Question

A package of hamburgers contains 8 patties and costs $7.50. Part A.) Luna has to buy at least 16 packages for an upcoming picnic. Write and solve an inequality to describe the number of hamburger patties, p, that Luna needs to buy. Part B.) Suppose she actually needs more than 150 hamburgers. How much will she spend? Explain.

Answer 1

Part A)
`p\geq 128\ patties`

Part B) She will spend more than
`\$142.50`

Explanation:

Let

p-----> the number of hamburger patties

Part A) Luna has to buy at least 16 packages for an upcoming picnic

`p\geq 16*8`

`p\geq 128\ patties`

Part B) Suppose she actually needs more than 150 hamburgers. How much will she spend?

Let

c---------> the total cost

step 1

Divide 150 hamburgers by 8 (a package of hamburgers)

so

`(150)/(8) =18.75\ package`

round to the nearest whole number

`18.75=19\ package`----> the minimum number of packages

step 2

`c>19*\$7.50`

`c>\$142.50`