Mr. sanchez’s class sold fruit pies for $1.32 each and mr. kelly’s class sold bottles of fruit juice for $1.77 each. together, the classes sold 90 items and earned $140.40 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?

a)

b)  Mr. Kelly’s class.

c) $29.52

Step-by-step explanation:

a) Let's call:

s: the number of fruit pies sold by Mr. Sanchez’s class.

k: the number of fruit pies sold by Mr. Kelly’s class.

You can set up the following system of equations:

You can solve it by the Elimination method:

- Multiply the first equation by -1.32.

- Add both equations.

- Solve for k.

Then:

Susbtitute k into any of the original equations and solve for s:

b) The amount of money earned by Mr. Kelly’s class was:

The amount of money earned by Mr. Sanchez’s class was:

Then, the class that earned more money was: Mr. Kelly’s class.

c) Subtract both amounts of money:

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

hope this !

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3