Question

According to a school's budget, the money spent on buying new equipment and money spent on maintenance of old equipment should be in the ratio of 4 : 5. In one year, if the money spent on buying new equipment is $48,800.00, how much money was spent on maintenance of old equipment?

Answer 1

Main Answer:

Let's denote the amount spent on buying new equipment as
`\(4x\)` and the amount spent on the maintenance of old equipment as
`\(5x\)`, where
`\(x\)` is a common multiplier.

Step-by-step explanation:

According to the given information, the ratio of the money spent on buying new equipment to the money spent on the maintenance of old equipment is
`\(4:5\)`.

So, we have:

`\[ \frac{\text{Money spent on new equipment}}{\text{Money spent on maintenance}} = (4x)/(5x) \]`

We know that the money spent on buying new equipment is $48,800.00. Therefore:

`\[ (4x)/(5x) = (48800)/(1) \]`

Now, cross-multiply to solve for
`\(x\)`:

`\[ 4x * 1 = 5x * 48800 \]`

`\[ 4x = 244000 \]`

Now, solve for
`\(x\)`:

`\[ x = (244000)/(4) \]`

`\[ x = 61000 \]`

Now that we have the value of \(x\), we can find the amount spent on maintenance:

`\[ \text{Money spent on maintenance} = 5x \]`

`\[ \text{Money spent on maintenance} = 5 * 61000 \]`

`\[ \text{Money spent on maintenance} = 305000 \]`

Therefore, the amount spent on the maintenance of old equipment is $305,000.00.