Not Urgent But Please Check My Answer:
A pencil at a stationery store costs $1, and a pen costs $1.50. Stella spent $21 at the store. She bought a total of 18 items. Which system of equations can be used to find the number of pencils (x) and pens (y) she bought?
I think it is this: x + 18y = 21
x = 1.5y
18x + y = 21
x = 1.5y
x + 1.5y = 21
x + y = 18
I know for a fact not this: 1.5x + y = 21
x = 18y
OR if you write :
x = number of pencils
y = number of pens
then
x + 1.5 y = 21
x + y = 18
x = number of pens
y = number of pencils
She bought a total of 18 items.
x + y = 18
Stella spent 21 $
1.5$ * x + 1 $ * y = 21 &
1.5 x + 1 * y = 21
1.5 x + y = 21
You must solve system :
x + y = 18
1.5 x + y = 21
The solutions aree .
x = 6
y = 12
Proof :
6 * 1.5 $ + 12 * 1 $ = 9 $ + 12 $ = 21 $
Your answer is partially correct. The correct system of equations to find the number of pencils (x) and pens (y) she bought is:
x + y = 18
1x + 1.5y = 21
This is because she bought a total of 18 items (x + y = 18) and spent $21 (1x + 1.5y = 21), with x representing the number of pencils and y representing the number of pens.
To solve this problem, we can set up a system of equations based on the given information.
Let's assume that she bought x number of pencils and y number of pens.
1. We know that the cost of each pencil is $1, so the total cost of pencils would be x * $1 = $x.
2. Similarly, the cost of each pen is $1.50, so the total cost of pens would be y * $1.50 = $1.5y.
From the given information, we also know:
1. Stella spent a total of $21, so the equation for the total cost would be: $x + $1.5y = $21.
2. Stella bought a total of 18 items, so the equation for the total number of items would be: x + y = 18.
Therefore, the correct system of equations to solve for the number of pencils (x) and pens (y) would be:
Equation 1: x + y = 18
Equation 2: x + 1.5y = 21
So, the correct option is:
x + y = 18
x + 1.5y = 21
You can solve this system of equations using different methods like substitution, elimination, or graphing to find the values of x and y.