Question

If the cost of 4 pears and 2 peaches equals $1.00 and the cost of 2 pears and 3 peaches equals $0.70 how much does each pear and each peach cost

Answer 1

1 pear costs 20 cents. 1 peach costs 10 cents.

Explanation:

x represents pears

y represents peaches

4x + 2y = 1

2x + 3y = 0.7

multiply the second equation by -2 to elimate the x variable

(2x +3y = 0.7) -2 = -4x - 6y = -1.4

add the new equation to the first original one:

4x + 2y = 1

-4x - 6y = -1.4

-4y = -0.4. divide both sides by -4, y = 0.10

plug in y = 10, solve algebraically and get x = 0.20

Lastly, check your work:

4(0.20) + 2(0.10) = 1

2(0.20) + 3(0.10) = 0.7

Answer 2

20 p per pear 10p per peach

Explanation:

Hope this helps