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

Let x be cost notebook and y be cost of index card
According to first condition
3x+4y=32

According to second comdition
5x+5y=32+15

Solve the two equations

Answer 3

x=4 and y=5?

Answer 4

@tanmaykhandait

Answer 5

No...my error... In the second equation.....it is 5x+5y=32+18

Answer 6

Really sorry

Answer 7

Y=2 and x=8

Answer 8

oh ok thanks

Answer 9

@tanmaykhandait so A,right?

Answer 10

Yup