A pencil at a stationery store costs $1, and a pen costs $1.50. Shawn spent $12 at the store. He bought a total of 9 items. Which system of equations can be used to find the number of pencils (x) and pens (y) he bought?

1.5x + y = 12
x = 9y

x + 1.5y = 12
x + y = 9

x + 9y = 12
x = 1.5y

9x + y = 12
x = 1.5y

Respuesta :

I would go with the second answer

The system of equations that represents the given statements is

x + 1.5y = 12

x + y = 9

Where x is the number of pencils and y is the number of pens that Shawn bought.

How to write an equation for a statement?

To write an equation:

  • Observe the variable terms from the given statement
  • Add/subtract required terms according to the word's 'total or difference' given in the statements
  • Multiply/divide required terms according to the words 'more or less given the statements
  • Equate with the respective values related to the variable term.

Calculation:

Given that,

A pencil at a stationery store costs - $1

and A pen costs - $1.50

Shawn spent $12 at the store. He bought a total of 9 items.

So,

Consider number of pencil = x and number of pens = y

Since he bought a total of 9 items, we can add the number of pencils and pens and equate the sum with 9

I.e., x + y = 9 ...(i)

We have cost for a single pencil and a single pen

So, to get the cost for the total number of pencils and pens that he bought, multiply the cost of a single one by the number of pencils and pens. I.e.,

1 × x and 1.50 × y

Since it is given that he spent $12 for both pencils and pens, we can write

x + 1.5 y = 12  ...(ii)

Thus, from equations (i) and (ii), the system we can write

x + 1.5 y = 12

x + y = 9

So, option 2 is the correct set of equations for the given system.

Learn more about writing equations from words here:

https://brainly.com/question/11567221

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