i buy 3 pineapples and 2 melons for $34 and my friend buys 2 pineapples and 4 melons for $36. how much do the pineapples and mel

Question

3 years ago

14

ons cost

1 answer:

dezoksy [38] · Answer 1 · 2021-12-24T18:26:23+03:00

<h3>The cost of 1 pineapple is $ 8 and cost of 1 melon is $ 5</h3>

<u><em>Solution:</em></u>

Let "x" be the cost of 1 pineapple

Let "y" be the cost of 1 melon

<em><u>3 pineapples and 2 melons for $34</u></em>

Therefore,

3x + 2y = 34 -------- eqn 1

<em><u>my friend buys 2 pineapples and 4 melons for $36</u></em>

Therefore,

2x + 4y = 36 --- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by -2</u></em>

-6x -4y = -68 -------- eqn 3

Add eqn 2 and eqn 3

2x + 4y = 36

-6x -4y = -68

( + ) -------------

-4x = -32

Substitute x = 8 in eqn 1

3(8) + 2y = 34

2y = 34 - 24

2y = 10

Thus cost of 1 pineapple is $ 8 and cost of 1 melon is $ 5