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3. Mr. Sanchez’s class sold fruit pies for $1.65 each and Mr. Kelly’s class sold bottles of fruit juice for $1.36 each. Together, the classes sold 79 items and earned $118.17 for their school. (a) Write and solve a system of equations that model the problem. Show all your work. (b) Which class earned more money? (c) How much more money did that class earn? Answer:

 Feb 10, 2021
edited by Guest  Feb 10, 2021
 #1
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Let x  be  the number of fruit pies  that Mr. Sanchez's class sold

Let 79 - x  be   the  bottles of   fruit juice that Mr. Kelly's class sold

 

So we  have

 

1.65x   + 1.36 ( 79  - x)  =  118.17      simplify

 

1.65x  + 107.44 - 1.36x  = 118.17

 

1.65x - 1.36x =   118.17 -  107.44

 

.29x  =  10.73      divide both sides by .29

 

x =  37    fruit pies sold

79 - 37 =  42  bottles of  fruit juice  sold

 

1.65 * 37  = $61.05  =  what Mr. Sanchez's class made

118.17 - 61.05  = $57.12  = what Mr. Kelly's class made 

 

61.05 -  57.12  =   $3.93    more

 

cool cool cool

 Feb 10, 2021
 #2
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Thank you so much, saved me so much hassle!

Guest Feb 10, 2021

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