Question

Tony bought 3 boxes of 1-inch nails for a total of 297 1-inch nails and 5 boxes of 2-inch nails that had equal amounts of nails. He bought a total of 577 nails. Find the number of nails in each box of 2-inch nails.

Answer 1

To find the number of nails in each box of 2-inch nails, we can use equations to solve for the unknown quantity. By setting up an equation based on the information given, we can find the value of x, which represents the number of nails in each box. Solving the equation shows that there are 56 nails in each box of 2-inch nails.

Step-by-step explanation:

To find the number of nails in each box of 2-inch nails, we can start by finding the total number of nails in all the boxes. Tony bought 3 boxes of 1-inch nails, which amounts to a total of 297 nails. He also bought 5 boxes of 2-inch nails, but we don't know the number of nails in each box. However, we do know that there is an equal amount in each box.

Let's assume there are x nails in each box of 2-inch nails. So, we have 5 boxes of x nails, which gives us a total of 5x nails.

Adding up the nails from both the 1-inch and 2-inch boxes, we get the equation: 297 + 5x = 577.

Solving this equation, we subtract 297 from both sides: 5x = 280. Then we divide both sides by 5 to find the value of x: x = 56.

Therefore, there are 56 nails in each box of 2-inch nails.

Answer 2

56 nails

Step-by-step explanation:

let's start with finding how many 2-inch nails he bought.

if there are 577 nails total, and 297 of them are 1-inch, then the remainder is the amount of 2-inch nails.

577 - 297 = 280

since there were 5 boxes, containing 280 nails total, then:

280/5 = 56 nails per box

hope this helped!