Melons cost $20 per crate, and apples cost $8 per crate. A total of 48 crates are purchased for $420. Determine the number of crates of melons and apples.

Question

asked Apr 21, 2024 224k views

1 Answer

Yanfang · Answer 1 · 2024-04-26T01:34:21+0000

There are 3 crates of melons and 45 crates of apples.

Let's assume the number of crates of melons to be 'x' and the number of crates of apples to be 'y'.

According to the given information, each crate of melons costs $20 and each crate of apples costs $8.

Using this information, we can form the following equations:

x + y = 48 (equation 1) --> because the total number of crates purchased is 48

20x + 8y = 420 (equation 2) --> because the total cost of the crates is $420

To solve this system of equations, we can use the substitution method or the elimination method.

Let's use the elimination method:

Multiplying equation 1 by 8, we get:

8x + 8y = 384 (equation 3)

Subtracting equation 3 from equation 2, we get:

(20x + 8y) - (8x + 8y) = 420 - 384

12x = 36

Dividing both sides of the equation by 12, we get:

x = 3

Substituting the value of x into equation 1, we get:

3 + y = 48

y = 45

Therefore, there are 3 crates of melons and 45 crates of apples.