Question

Five oranges and a banana cost 87 cents. An orange and five banana cost 99 cents . What is the total cost of two oranges and two bananas?

Answer 1

Problem Solving

The total costs of two oranges and two bananas is 62 cents.

Explanation:

5 oranges + 1 banana = 87 cents

1 orange + 5 bananas = 99 cents

Let x represent the oranges and x for the bananas. Thus 5x + y = 87 and x + 5y = 99. Solve x using substitution method. If 5x + y = 87, then y = -5x + 87. Substitute this equation to the second equation: x + 5(-5x + 87) = 99. x + (-25x) + 435 = 99. Simplify by combining the similar terms of the equation: -24x = 99 - 435. -24x = -336. Divide both sides of the equation by 24 to get the value of x. Therefore, x = -336/-24, x = 14 cents. Each orange costs 14 cents.

Compute for the price of a banana using the second equation: x + 5y = 99. Replace x with 14. 14 + 5y = 99. 5y = 99 - 14. 5y = 85. Divide both sides of the equation by 5 then y = 17 cents.

Now, find the cost of two oranges and two bananas: 2x + 2y = 2(14 cents) + 2(17 cents) = 28 + 34 cents. Therefore, two oranges and two bananas costs 62 cents.