Thank you for visiting A boy has 11 coins in dimes and quarters Their total value is tex 1 70 tex How many of each does he have Which. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Here's how to set up the equations and solve the problem:
1. Define variables:
Let 'd' represent the number of dimes.
Let 'q' represent the number of quarters.
2. Set up the equations:
Equation 1 (number of coins): d + q = 11 (The boy has 11 coins total)
Equation 2 (value of coins): 0.10d + 0.25q = 2.35 (The total value is $2.35; dimes are worth $0.10 each, quarters are worth $0.25 each)
3. Choose the correct set of equations:
The correct answer is A.
4. Solve the system of equations (using substitution):
Solve Equation 1 for d:
d = 11 - q
Substitute this expression for 'd' into Equation 2:
0.10(11 - q) + 0.25q = 2.35
Distribute the 0.10:
1.10 - 0.10q + 0.25q = 2.35
Combine like terms:
1.10 + 0.15q = 2.35
Subtract 1.10 from both sides:
0.15q = 1.25
Divide both sides by 0.15:
q = 8.333...
Since you can't have a fraction of a coin, this means there is an error in the problem as written. It's not possible to have 11 dimes and quarters totaling $2.35. If the total was $2.25, the solution would be d=5 and q=6. If the total was $2.50, the solution would be d=10 and q=1.Answer:
Step-by-step explanation:
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Rewritten by : Jeany
