Math Problem Statement
A store sold P60 worth of chocolate bars and candies. If the chocolate bars were worth 5 times more than the candies, how much of each kind did the store sell?
Solution
Let's define the variables:
- Let be the amount of money worth of candies sold (in pesos).
- Let be the amount of money worth of chocolate bars sold (in pesos).
Step 1: Set up the equations
According to the problem, we have two conditions:
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The total sales for both chocolate bars and candies is P60:
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The chocolate bars were worth 5 times more than the candies:
Step 2: Solve the system of equations
We can substitute the second equation into the first equation.
Substitute into :
Now, combine like terms:
Divide both sides by 6:
Now that we have the value for (candies), we can find the value for (chocolate bars) using :
Conclusion
- The store sold P10 worth of candies.
- The store sold P50 worth of chocolate bars.
Would you like any further explanation or details on this solution?
Here are 5 related questions:
- What if the chocolate bars were worth 3 times more than the candies? How much of each would the store sell?
- If the total sales were P100 instead of P60, how would the amounts change?
- What if the candies were worth 4 times more than the chocolate bars? What would the new amounts be?
- Can you determine how many units of each item were sold if you knew the price per unit?
- What if the problem stated that the chocolate bars were worth twice as much as the candies?
Tip: Always express one variable in terms of the other when dealing with linear equations in word problems.
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Math Problem Analysis
Mathematical Concepts
Linear equations
Proportions
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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