Question

John and Ariana bought school supplies. John spent $10.90 on 4 notebooks and 7 pens. Ariana spent $7.40 on 3 notebooks and 4 pens. What is the cost of 1 notebook and what is the cost of 1 pen?

Answer 1

costs $1.72 and one pen costs $0.62Step-by-step explanation:Let's use a system of equations to solve for the cost of one notebook and one pen.Let x be the cost of one notebook and y be the cost of one pen. Then we can set up two equations based on the given information:4x + 7y = 10.9 (John's purchase)3x + 4y = 7.4 (Ariana's purchase)Now we can solve for x and y using elimination or substitution. Here's the elimination method:Multiply the first equation by 3 and the second equation by -4 to eliminate x:12x + 21y = 32.7-12x - 16y = -29.65y = 3.1Solve for y:y = 0.62Substitute y = 0.62 into either equation to solve for x:4x + 7(0.62) = 10.94x = 6.86x = 1.72Therefore, one notebook costs $1.72 and one pen costs $0.62.

Explanation:

Answer 2

costs $1.72 and one pen costs $0.62

Explanation:

Let's use a system of equations to solve for the cost of one notebook and one pen.

Let x be the cost of one notebook and y be the cost of one pen. Then we can set up two equations based on the given information:

4x + 7y = 10.9 (John's purchase)

3x + 4y = 7.4 (Ariana's purchase)

Now we can solve for x and y using elimination or substitution. Here's the elimination method:

Multiply the first equation by 3 and the second equation by -4 to eliminate x:

12x + 21y = 32.7

-12x - 16y = -29.6

5y = 3.1

Solve for y:

y = 0.62

Substitute y = 0.62 into either equation to solve for x:

4x + 7(0.62) = 10.9

4x = 6.86

x = 1.72

Therefore, one notebook costs $1.72 and one pen costs $0.62.