Question

26 fifth graders collected 500 canned goods. If some students collected one more can than the rest, how many collected 19 and how many collected 20?

Answer 1

ok, so assuming that the only two options are 19 and 20 cans collected

Answer 2

right, so the two unknowns are the number of students that collected 19, and the number that collected 20

Answer 3

so you have two unknowns, and you need two equations to solve

Answer 4

so we know that:
x*19 + y*20 = 500 - with x= te number o students that collected 19, and y being te number of students that collected 20

Answer 5

we also know that x+y =26 - there are 26 students in all that collected cans

Answer 6

so our two equations are:
1. x + y = 26
2. 19x + 20y = 500

And now you want to substitute the value of y in the first equation, into the second equation

Answer 7

so y = 26 - x
now replace (subsitute) that in place of the y in the second equation
you get:
19 *x + 20(26-x) = 500

Answer 8

19x + 520 - 20x = 500
-x + 520 = 500
-x = -20
x = 20

Answer 9

so 20 students got 19 cans

Answer 10

now subsitute that value back into the first equation:
x + y = 26 - given x = 19
19 +y = 26
y = 7

Answer 11

so 19 students got 19 cans, and 7 got 20 cans

Answer 12

whoops sorry, 20 got 19 cans, and 6 got 20 cans - not sure where I got the 19 in the previous step

Answer 13

thank u sandra