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3 friends bought an equal number of fruits each from the same store. Alan bought 5 oranges and some apples, and paid $7.80. Bob bought 11 oranges and some apples, and paid $9. Chris bought only apples. How much did Chris pay for his apples?

 Oct 6, 2021
 #1
avatar+36915 
+1

They all bought the same number of fruits

Let 'x' be the number     d = price of orange    a = price of apple

 

5d + ( x-5)a = 7.80        <====== Multiply by -2.2 and add to the second equation ( this is to cancel ou the 'd')

11d + (x-11)a = 9.00

 

-2.2(x-5)a + (x-11)a = -2.2(7.80)(9.00)

simplifying this results in xa = 6.80         this is the amount Chris spent on 'x' apples

 Oct 6, 2021
 #2
avatar+36915 
0

**** edit ***

-2.2(x-5)a + (x-11)a = -2.2(7.80)  +  (9.00)        Answer was correct but omitted the ' + ' sign....

ElectricPavlov  Oct 7, 2021

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