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vivado [14]
3 years ago
13

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 s

olve. Show ALL your work.
Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

12

Step-by-step 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 \frac{1}{20}z and the oranges price is \frac{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= \frac{1}{20}z * x + \frac{1}{30}z *y

1= \frac{1}{20}x +\frac{1}{30}y

-\frac{1}{30}y= \frac{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= \frac{30}{2.5}= 12

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