Ineed ! 25
3.mr. sanchez’s class sold fruit pies for $1.55 each and mr. kelly’s class sold bottles of fruit juice for $1.40 each. together, the classes sold 60 items and earned $88.20 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?

Mr Kelly's made more money, $1.4 more.

Step-by-step explanation:

Let x be the amount sold by Mr Sánchez class and y the amount sold by Mr Kelly class. As together they sold 60 units:

x + y = 60 (equation 1)

Given the prices and that together there made $88.20 dollars:

1.55x + 1.40y = 88.2 (equation 2)

Now we need to solve an equation system formed by equations 1 and 2.

Take equation 1 and subtract y in both sides:

x = 60 - y

Now replace this last equation in equation 2:

1.55 (60-y) + 1.40y = 88.2

93 - 1.55y +1.40y = 88.2

93 - 0.15y = 88.2

Subtract 93 in both sides:

-0.15y = 88.2-93

-0.15y=-4.8

Now divide both sides by (-0.15)

y = (-4.8)/(-0.15)

y = 32

So, Mr Kelly's class sold 32 bottles of juice. Consequently, Mr Sanchez's class must have sold 60-32=28 pies.

Mr Kelly's class made 32*$1.4=$44.8 and Mr Sanchez's 28*$1.55= $43.4

So, Mr Kelly's class made more money. It made 44.8-43.4=$ 1.4 more than Mr Sanchez's.

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