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Juan and his children went into a grocery store and he bought $7.50 worth of apples and bananas. Each apple costs $0.75 and each banana costs $0.50. He bought a total of 11 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Juan bought.

 Mar 5, 2021
 #1
avatar+235 
+1

apple = a

banana = b

 

(1) a+b = 11

(2) 7.50 = 0.75 a + 0.5b

(2)*100 =

(3) 750 = 75a + 50b

 

(1) * 50 =

(4) 50a+ 50b = 550

 

(3) -(4) =

25a = 200

a = 8

 

8 apples, 3 bananas 

 Mar 5, 2021
 #2
avatar+30523 
+1

a = # apps     cost  75a

b = bans = 11-a    cost  50(11-a)

75a + 50(11-a) = 750

25a = 200        a = 8    then b = 11-8 = 3

 Mar 5, 2021

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