Josh has $40 and wants to buy tubes of paint that cost $2 each. How many tubes of paint can he buy and still have at least $23 left over for canvas
40 - 2 t ≥ 23
Well, Josh could buy 8 tubes of paint and still have $23 left over for canvas. But if he's like me, he'll probably end up spending all his money on snacks instead!
To find out how many tubes of paint Josh can buy, we need to subtract the cost of the desired number of tubes from his initial budget and make sure the remaining amount is at least $23.
Let's calculate:
1. Subtract the cost of one tube of paint from Josh's budget: $40 - $2 = $38.
2. Check if the remaining amount is at least $23. Since $38 is more than $23, we can continue.
3. Subtract another $2 (the cost of the second tube of paint) from the remaining amount: $38 - $2 = $36.
4. Check if the remaining amount is at least $23. Since $36 is more than $23, we can continue.
5. Repeat the process until the remaining amount is less than $23.
- Subtract $2 (the cost of the third tube of paint) from the remaining amount: $36 - $2 = $34.
- Subtract $2 (the cost of the fourth tube of paint) from the remaining amount: $34 - $2 = $32.
- Subtract $2 (the cost of the fifth tube of paint) from the remaining amount: $32 - $2 = $30.
6. Continue the process until the remaining amount is less than $23.
- Subtract $2 (the cost of the sixth tube of paint) from the remaining amount: $30 - $2 = $28.
- Subtract $2 (the cost of the seventh tube of paint) from the remaining amount: $28 - $2 = $26.
7. At this point, we cannot subtract $2 anymore because the remaining amount will be less than $23.
Therefore, Josh can buy at most 6 tubes of paint and still have at least $23 left over for canvas.
To find out how many tubes of paint Josh can buy, we need to determine the cost of the tubes of paint that he can afford and then calculate the remaining amount.
1. Start with the total amount of money Josh has: $40.
2. Determine the cost per tube of paint: $2.
3. Calculate the number of tubes of paint he can buy by dividing his total funds by the cost per tube:
Number of tubes of paint = Total amount of money / Cost per tube of paint
Number of tubes of paint = $40 / $2 = 20 tubes of paint.
4. Next, subtract the cost of the tubes of paint from the remaining amount of money:
Remaining amount = Total amount of money - (Number of tubes of paint * Cost per tube)
Remaining amount = $40 - (20 * $2) = $40 - $40 = $0.
As a result, he won't have any money left over for purchasing canvas since his remaining amount is $0.
So, Josh can buy 20 tubes of paint and won't have any money left over for canvas.