Answer:
The number of melon was 3 and the number of apples was 45.
Step-by-step 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 [tex]x[/tex] is the number of melons and [tex]y[/tex] is the number of apples:
[tex]\left \{ {{x+y=48} \atop {20x+8y=420}} \right.[/tex]
2. By applying the Method of substitution, you can solve for [tex]y[/tex] in the first equation and substitute it into the second one to find [tex]x[/tex]. Then, you can substitute the value of [tex]x[/tex] into the first equation to find [tex]y[/tex]:
[tex]y=48-x[/tex]
[tex]20x+8(48-x)=420\\20x+384-8x=420\\12x=36\\x=3[/tex]
[tex]3+y=48\\y=45[/tex]
