Apples and bananas 20 pieces of fruit and spent$11.50 apples cost 50 cent bananas 75 cent write two equations 1 will represent number of pieces of fruit and next money spent on fruit. Solve algebracally how many apples and bananas angelo bought?

Question

Mathematics

Mike Levy

6 June, 11:43

Apples and bananas 20 pieces of fruit and spent$11.50 apples cost 50 cent bananas 75 cent write two equations 1 will represent number of pieces of fruit and next money spent on fruit. Solve algebracally how many apples and bananas angelo bought?

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Answers (1)

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Jair Ibarra · Answer 1

X = apples

y = bananas

0.50x+0.75y=11.50

x+y=20

I would change the x+y=20 into y=mx+b form. The equation would then be y = - x+20. You would plug in the last equation (y=-x+20) in for the y in the first equation. I would use the substitution property to figure out how many apples Angelo will get. This is how you would solve it:

0.50x + 0.75 (-x+20) = 11.50

0.50x - 0.75x + 15 = 11.50 (do the distributive property)

0.50x-0.75x = - 3.5 (subtract the 15 from both sides of the equation)

-0.25x = - 3.5 (combine like terms)

Divide both sides by - 0.25 and get that x=14. Angelo got 14 apples

You would then put 14 in one of the equations that you used above.

y = - x+20

y = - 14+20

y = 6

Angelo got 6 bananas and 14 apples.