GIVING A BRAINLIST PLZZ ASAP
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?

Respuesta :

Answer:

(c) $3,93 more

(b) Mr. Sánchez's class earned more money.

(a) [tex]\displaystyle [42, 37] → [j, p][/tex]

Step-by-step explanation:

{79 = p + j

{118,17 = 1,65p + 1,36j

−25⁄34[118,17 = 1,65p + 1,36j]

{79 = p + j

{86 121⁄136 = 1 29⁄136p - j >> New Equation

__________________________

[tex]\displaystyle \frac{-7\frac{121}{136}}{-\frac{29}{136}} = \frac{-\frac{29}{136}p}{-\frac{29}{136}}[/tex]

[tex]\displaystyle 37 = p[/tex][Plug this back into both equations above to get the j-value of 42]; [tex]\displaystyle 42 = j[/tex]

The next step is to plug the solution into the BOTTOM EQUATION to calculate the total money earned for each class:

Sánchez's class

[tex]\displaystyle 61,05 = [37][1,65][/tex]

Altogether, thirty-seven fruit pies cost $61,05.

Kelly's class

[tex]\displaystyle 57,12 = [42][1,36][/tex]

Altogether, forty-two bottles of fruit juice cost $57,12.

* Based on the calculation, it is perfectly clear that Mr. Sánchez's class earned more money by $3,93:

[tex]\displaystyle 3,93 = -57,12 + 61,05[/tex]

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