Question
Isaac is going to an art store. He buys one can of paint for $22, and spends the rest of his money on paintbrushes that cost $7 each. How many paintbrushes can Isaac buy if he has exactly $85 to spend?
Let p be the number of paintbrushes Isaac buys. Start by writing an expression that represents the amount of money Isaac spends at the art store.
Let p be the number of paintbrushes Isaac buys. Start by writing an expression that represents the amount of money Isaac spends at the art store.
Answers
GPT-4o mini
First, we need to calculate how much money Isaac has left after buying one can of paint for $22. He starts with $85, so after the purchase of the paint, the amount of money he has left is:
\[
85 - 22 = 63 \text{ dollars}
\]
Now, let \( p \) represent the number of paintbrushes that Isaac buys. Each paintbrush costs $7, so the total amount of money spent on paintbrushes can be represented as:
\[
7p
\]
To find the total amount of money Isaac spends at the art store, we can combine the cost of the paint and the cost of the paintbrushes:
\[
\text{Total amount spent} = \text{Cost of paint} + \text{Cost of paintbrushes} = 22 + 7p
\]
Since we know he can spend up to $85, we can express this relationship as:
\[
22 + 7p \leq 85
\]
This expression represents the total amount of money Isaac spends at the art store.
\[
85 - 22 = 63 \text{ dollars}
\]
Now, let \( p \) represent the number of paintbrushes that Isaac buys. Each paintbrush costs $7, so the total amount of money spent on paintbrushes can be represented as:
\[
7p
\]
To find the total amount of money Isaac spends at the art store, we can combine the cost of the paint and the cost of the paintbrushes:
\[
\text{Total amount spent} = \text{Cost of paint} + \text{Cost of paintbrushes} = 22 + 7p
\]
Since we know he can spend up to $85, we can express this relationship as:
\[
22 + 7p \leq 85
\]
This expression represents the total amount of money Isaac spends at the art store.