Question

A man can buy 20 mangoes or 30 oranges. If he wants a each amount of each, how many of each would he get? Write an EQUATION to solve. Show ALL your work.

Answer 1

12

Explanation:

In this question, there are two variables: the number of mangoes(y) bought and the number of oranges bought(x).

Let's say the man have z money, mangoes price is
`(1)/(20)`z and the oranges price is
`(1)/(30)`z. The equation for money and number of mangoes and oranges will be:

money = mango price * mangoes bought + orange price * orange bought

z=
`(1)/(20)`z * x +
`(1)/(30)`z *y

1=
`(1)/(20)`x +
`(1)/(30)`y

-
`(1)/(30)`y=
`(1)/(20)`x -1

y= -1.5x + 30

y= 30 - 1.5x

If he want equal number of mango and orange, that mean y=x. The calculation will be:

y= 30 - 1.5x

x= 30 - 1.5x

x+ 1.5x = 30

2.5x= 30

x=
`(30)/(2.5)`= 12