The local food pantry is asking for "Gobble Kit" donations - an itemized list of non-perishable food items and a $20 donation for a turkey. The food pantry will purchase the turkeys for the "Gobble Kits". Each "Gobble Kit" will include everything needed for a Thanksgiving meal and will be given to a family in need.
Stacy donated three "Gobble Kits" and spent a total of $114. The equation shown represents the situation.
3(x+20)=114
What does the variable
represent in Stacy's equation?
In Stacy's equation, the variable x represents the cost of the non-perishable food items in the "Gobble Kit".
how would you solve this equation?
To solve the equation 3(x + 20) = 114, you can follow these steps:
1. Distribute the 3 to both terms inside the parentheses:
3x + 3(20) = 114
3x + 60 = 114
2. Subtract 60 from both sides of the equation to isolate the term with x:
3x + 60 - 60 = 114 - 60
3x = 54
3. Divide by 3 to solve for x:
3x / 3 = 54 / 3
x = 18
Therefore, the cost of the non-perishable food items in each "Gobble Kit" is $18.