Question

Mila plants 820 hectares of potatoes and corn. To maximise his profit he plants 140 hectares more of potatoes than of corn. How many hectares of each does he plant?

Answer 1

1. p=x+140whilec=x x+140+x=820ans=340 Answer=corn 340. while potatoes 480

Answer 2

480 Hectares potatoes, 340 Hectares corn

Explanation:

Let x be the land used to plant potatoes in hectares.

Let y be the land used to plant corn in hectares.

Given the information from the question, we know that:

x + y = 820 - Equation 1

and

x - y = 140 - Equation 2

as you can see here we have 2 equations, means we can solve them simulteanously to solve for both. We will use elimination method.

We will use Equation 1 - Equation 2.

x-x+y-(-y)=820-140

2y = 680

y = 680 ÷ 2 = 340 hectares

We substiture y into equation 1 to find x

x + 340 = 820

x = 820 - 340

= 480 hectares

Therefore, 480 hectares of potatoes and 340 hectares of corn were planted.