Question

Joshua and his children went into a grocery store and will buy bananas and peaches.

Each banana costs $0.70 and each peach costs $2. Joshua has a total of $25 to spend
on bananas and peaches. Write an inequality that would represent the possible values
for the number of bananas purchased, b, and the number of peaches purchased, p.

Answer 1

`0.7b+2p \leq 25`

Explanation:

So, we know that each banana costs $0.70 and each peach costs $2. So, the total when purchasing b bananas and p peaches can be written as the expression:

`0.7b+2p`

Where b represents the amount of bananas purchases and p represents the amount of peaches purchases.

Joshua has at maximum $25 to spend. The total cannot exceed $25. In other words, the total of the above expression must be less than 25. So, our inequality will be:

`0.7b+2p<25`

However, it is also possible for Joshua to spend exactly $25. So, we also need an equal sign. Therefore, our final inequality will be:

`0.7b+2p \leq 25`

In words, this means that the total cost depending on the number of bananas and peaches Joshua buys must be less than or equal to 25.

And we're done!