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.

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?

Answer 1

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

\[3x+4y=32\] is one of the equations
then since \(32+18=50\) the other would be
\[5x+5y=50\]

Answer 3

you know how to solve
\[3x+4y=32\\
5x+5y=50\]?

Answer 4

"no" is a fine answer, just asking
i can show you if you like

Answer 5

no... :/

Answer 6

DO U STILL NEED HELP

Answer 7

yes
whats the answer

Answer 8

@hype.child

Answer 9

its A @Jasmiinnee_m