Sammie took $25 out of her checking account. After taking the money out of her account she had $100 remaining. Which equation can be used to find the amount, c, Sammy had in her account before she took the money out?
A. [tex]$c \div 25=100$[/tex]
B. [tex]$c+25=100$[/tex]
C. [tex]$c-25=100$[/tex]
D. [tex]$c \times 25=100$[/tex]
Answer (1)
Define 'c' as the initial amount Sammie had.
Express the situation as an equation: Sammie's initial amount minus the withdrawal equals the remaining amount.
Formulate the equation: c − 25 = 100 .
The equation to find the initial amount is c − 25 = 100 .
Explanation
Problem Analysis Let's analyze the problem. Sammie initially had an unknown amount of money, which we'll call 'c'. She then took out $25, and was left with $100. We need to find the equation that represents this situation.
Formulating the Equation The amount Sammie had initially, 'c', minus the $25 she took out, equals the 100 s h e ha d re mainin g . T hi sc anb e w r i tt e na s : c − 25 = 100 $
Final Answer Therefore, the equation that can be used to find the amount, c, Sammie had in her account before she took the money out is: c − 25 = 100
Examples
Imagine you're saving up for a new bicycle that costs $300. You've already saved some money, but you need to buy a new helmet for $25 before you can buy the bicycle. After buying the helmet, you have $275 left. The equation c - 25 = 275 helps you determine how much money, 'c', you had saved initially before buying the helmet. Understanding how to set up and solve these equations is useful in managing your finances and planning your savings.
