Question

Assume that dusty has $30 in income, the price of a loaf of bread is $1.50, and the price of a jar of peanut butter is $3. at the original income of $30, if the price of a loaf of bread decreased to $1 and the price of a jar of peanut butter increased to $5, then dusty could buy a maximum of ______ loaves of bread or a maximum of ______ jars of peanut butter.

Answer 1

30 loaves of bread or 6 jars of peanut butter

Answer 2

6 jars of peanut butter.

30 loaves of bread.

Explanation:

Accordind to the problem, a loaf of bread is $1.50, and a jar of peanut butter is $3. If Dusty has $30 income, the inequality that represents this is

`1.50x+3y\leq 30`

Where
`x` is bread and
`y` is peanut butter.

Then, a loaf of bread is $1 and a jar of peanut butter is $5. So,

`1x+5y\leq 30`

However, we can't use those equations in a system, because they are not related.

Notice that we just need to say how many loaves of bread Dusty can buy. With $30, Dusty can buy 30 loaf of bread, because each one costs $1.

Or, Dusty could buy 6 jars of peanut butter, because each one costs $5 and 5 times 6 is equal to 30.