MATH SOLVE

3 months ago

Q:
# Help PlzJohn and Sara each bought the same type of pen and notebook in the school bookstore, which does not charge sales tax. John paid $5.55 for two pens and three notebooks, and Sara paid $3.50 for one pen and two notebooks. How much does the school bookstore charge for one notebook?SHOW WORK

Accepted Solution

A:

Hey!

Let p = cost of a pen

Let n = cost of a notebook

The info in the question leads to two equations:

1) 2p + 3n = 5.55

2) p + 2n = 3.50

Multiply equation 2) by 2 to get the new system of equations

1a) 2p + 3n = 5.55

2a) 2p + 4n = 7.00

Subtract equation 1a) from equation 2a) to get

n = 1.45 ...................... that's the cost of one notebook

~~~~~~~~

To check, you could go on to figure out p, which turns out to be 0.60 . Put in those values of n and p into the original equations to verify.

Hope this helps! ~Nadia~

Let p = cost of a pen

Let n = cost of a notebook

The info in the question leads to two equations:

1) 2p + 3n = 5.55

2) p + 2n = 3.50

Multiply equation 2) by 2 to get the new system of equations

1a) 2p + 3n = 5.55

2a) 2p + 4n = 7.00

Subtract equation 1a) from equation 2a) to get

n = 1.45 ...................... that's the cost of one notebook

~~~~~~~~

To check, you could go on to figure out p, which turns out to be 0.60 . Put in those values of n and p into the original equations to verify.

Hope this helps! ~Nadia~