Question

Harry had $32. He spent all the money on buying 3 notebooks for $x each and 4 packs of index cards for $y each. If Harry had bought 5 notebooks and 5 packs of index cards, he would have run short of $18.

Answer 1

A student concluded that the price of each notebook is $5 and the price of each pack of index cards is $1. Which statement best justifies whether the student's conclusion is correct or incorrect?

The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 50 is (8, 2).

The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 18 is (8, 2).

The student's conclusion is correct because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 18 is (5, 1).

The student's conclusion is correct because the solution to the system of equations 3x – 4y = 32 and 5x – 5y = 50 is (5, 1).

Answer 2

@campbell_st

Answer 3

@yoyogators

Answer 4

well you know that he spends his $32 this way

3x + 4y = 32

looking at the other option, you would been $50 to buy

5x + 5y = 50

so that will eliminate choices B and C

so you task is to solve simultaneously

3x + 4y = 32
5x + 5y = 50

you could graph the lines, use the elimination method, the substitution method

or simply substitute the points into the equations

A has a solution x = 8 and y = 2

so substitute that into both equations and see if its true

if not look at d

x = 5, y = 1 substitute these values to see if its true....

hope it makes sense

Answer 5

It does,l so it's A ? @campbell_st

Answer 6

that's correct, well done

Answer 7

Thanks !