Respuesta :
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
#SPJ2