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Three friends are making purchases in the garden store. Betty buys 2 bushes and 1 flower pot for $31. Bob buys 1 bush and 3 flower pots for $23. Ron buys 1 bush and 1 flower pot. How much does Ron pay?

 Feb 2, 2016
 #1
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Are there Multiple choice?

 Feb 2, 2016
 #2
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+5

b-bushes

f-flowers

 

Betty buys 2 bushes and 1 flower pot for $31

2b+1f=$31

 

 Bob buys 1 bush and 3 flower pots for $23

1b+3f=$23

 

So you have:

2b+1f=$31            2b+1f=31     minus them from each other:   2b+1f-(2b+6f)=31-46

1b+3f=$23    x2     2b +6f=46                                                     -5f=-15

                                                                                                     f=3

 

let s put f=3 into one of the equations

2b+1f=$31       f=3

2b+3=31

2b=28

b=14

 

Ron buys 1 bush and 1 flower pot. How much does Ron pay?

b+f=?           b=14         f=3

14+3=17

 

Answer:17

 Feb 2, 2016
edited by Solveit  Feb 2, 2016

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