To write: and solve a system of equation for the given situation.
Answer to Problem 25CR
The florist takes 25 min to complete one small centerpiece and 40 min to complete one large centerpiece.
Explanation of Solution
Given:
Time taken by the florist to make 3 large centerpieces and 3 small centerpieces
Time taken by the florist to make 7 large centerpieces and 4 small centerpieces
Calculation:
Let
Let
Now, according to the question,
The florist takes 195 min to make 3 large centerpieces and 3 small centerpieces.
So, the equation for the above situation will be,
Now, according to the question,
The florist takes 380 min to make 7 large centerpieces and 4 small centerpieces.
So, the equation for the above situation will be,
For solving the system of equations,
Put equation (i) in equation (ii),
Now, putting
Conclusion:
Hence, the florist takes 25 min to complete one small centerpiece and 40 min to complete one large centerpiece.
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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