Jocelny and Andy were purchasing items for their quarterly project. Jocelyn picked out 6 pens, 2 posters and a glue stick. Andy picked out 4 pens, 1 poster and glue stick. Andy wants to slit the bill between the two. Jocelyn states that Andy would not have to pay as much as she would. The total the two spent was $23.61. The prices were as follows.
Pen $1.19 each
Poster $3.57 each
Glue sticks were on sale 3 for a $1
which equation represents the situation and solves for x, the cost of each glue stick
Let x be the cost of each glue stick in dollars.
Jocelyn spent 6 * 1.19 + 2 * 3.57 + 1 * x dollars on her items.
Andy spent 4 * 1.19 + 1 * 3.57 + 1 * x dollars on his items.
The total they spent is Jocelyn's total plus Andy's total, which equals $23.61.
Therefore, we have the equation:
6 * 1.19 + 2 * 3.57 + 1 * x + 4 * 1.19 + 1 * 3.57 + 1 * x = 23.61.
Simplifying the equation, we have:
7.14 + 7.14 + 2x + 4.76 + 3.57 + x = 23.61.
Combining like terms, we have:
25.61 + 3x = 23.61.
Subtracting 25.61 from both sides, we have:
3x = -2.
Dividing both sides by 3, we have:
x = -2/3.
Therefore, the cost of each glue stick is -$0.67.