Question

Shandra is on vacation and wants

to buy souvenirs for at least eight friends.
A postcard book costs $2.50 and a
magnet costs $4.00. She can spend
up to $30 altogether. Write a system
of inequalities to represent the situation.

Answer 1

Answer:
`p+m\geq8`

`2.50p+4m\leq 30`

Explanation:

Let p be the number of posters and m be number of magnets.

Cost of a postcard book = $2.50

Cost of a magnet = $4.00

Shandra wants to buy them for at least eight friends.

So,
`p+m\geq8`

She can spend up to $30 altogether.

So,
`2.50p+4m\leq 30`

Hence, the system of inequalities to represent the situation:

`p+m\geq8`

`2.50p+4m\leq 30`