Question

Three sacks of potatoes and four bags of rice cost Rs 620. Five sacks
of potatoes and four bags of rice cost Rs 700. How much does a
sack of potatoes cost?​

Answer 1

Given:

Three sacks of potatoes and four bags of rice cost Rs 620

Five sacks  of potatoes and four bags of rice cost Rs 700

To find:

How much does a  sack of potatoes cost?​

Solution:

Let's assume,

"p" → represents the cost of a sack of potatoes

"r" → represents the cost of a bag of rice

According to the question, we can form the following equations:

Equation 1:→ 3p + 4r = 620

and

Equation 2:→ 5p + 4r = 700

Now, subtracting eq. (1) from (2), we get

5p + 4r = 700

3p + 4r = 620

-    -        -

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2p = 80

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∴ p = $\frac{80}{2} = \bold{40}$

Thus, the cost of a sack of potatoes is → Rs. 40.

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