Question

The cost of 3 Dozen eggs and four dozen oranges is Rs. 270 and the cost of 4 dozen eggs

and 5 dozen oranges is Rs. 350. What is the cost per dozen of each item?

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Answer 1

Step-by-step explanation:

The cost of 3 dozen eggs and four dozen oranges is rs.27/-, and the cost of 4 dozen eggs and 5 dozen oranges is rs.35/- . What is the cost per dozen of each item?

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It would be a lot easier if you only had oranges, wouldn't it?

Can you think of a way you can transform the two statements so there are the same number of eggs in each one (keeping the mathematical relationship between eggs, oranges and price the same)?

If you had the same number of eggs in each statement (equation), the difference in price between them could only come from the difference in the number of oranges…

(You could of course perform a similar operation to find the price of eggs.)

The best 5G stock for 2020 is less than $10 (for now).

I don’t have any oranges or eggs, but I’ll set up a similar problem for you. 2 gnus and 5 yaks cost 12gold. 5 gnus and 10 yaks cost 25 gold.

So: if the cost of gnus is x and the cost of yaks are y, I know that

2x+5y = 12gold and I know that

5x+10y= 25 gold

same x and y. So I’ll take the second equation and solve for x:

5x+10y=25

Subtract 10y from both sides

5x+10y-10y=25–10y

5x=25–10y

Divide bothsides by 5

x=5–2y

Now I go back to the first equation and substitute 5–2y everyplace I see an x

2(5–2y)+5y=12

10–4y+5y=12

10+y=12

10+y-10=12–10

y=2

Now substituting that answer for y in my second equation gives me

x=5–2(2j

x= 1

So each gnu costs 1 gold, each yack costs 2 gold.