Students at three elementary schools collected a total of 29,294 cans of food to donate to a local food bank. Students at Johnson Elementary collected 9,987 cans of food, while students at Lincoln Elementary School collected 12,462 cans of food. How many cans of food did students at Richardson Elementary School collect

6,845 cans

Step-by-step explanation:

Total of 29,294 cans of food to donate to a local food bank

Students at Johnson Elementary collected 9,987 cans of food

Students at Lincoln Elementary School collected 12,462 cans of food.

Total number of food can collected =

Food cans at Johnson Elementary + Food cans at Lincoln Elementary +

Food cans at Richardson Elementary

The Food cans collected at Richardson Elementary = Total food cans - (Food cans at Johnson Elementary + Food cans at Lincoln Elementary )

= 29,294 cans - (9,987 + 12,462) cans

= 29,294 cans - 22,449 cans

= 6,845 cans

Therefore, the cans of food that the students at Richardson Elementary School collected is 6,845 cans

add an image

step-by-step explanation:

(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