Question

Melons cost $20 pet Crate, and apples cost $8 per create. an order comes in for a total of 48 crates for $420. what was the number of melons and apples?

Answer 1

The number of melon was 3 and the number of apples was 45.

Explanation:

1. Melons cost $20 per crate and apples cost $8 per create. If the total was 48 crates for $420, you can make the following system of equations, where
`x` is the number of melons and
`y` is the number of apples:

`\left \{ {{x+y=48} \atop {20x+8y=420}} \right.`

2. By applying the Method of substitution, you can solve for
`y` in the first equation and substitute it into the second one to find
`x`. Then, you can substitute the value of
`x` into the first equation to find
`y`:

`y=48-x`

`20x+8(48-x)=420\\20x+384-8x=420\\12x=36\\x=3`

`3+y=48\\y=45`