Math Problem Statement
The attendant at a parking lot compared the number of hybrid vehicles to the total number of vehicles in the lot over a weekend. The ratios for the three days were equivalent. Complete the table. Day Hybrids Total Fri. 3 8 Sat. 56 Sun. 27 Question content area bottom Part 1 Day Hybrids Total Fri. 3 8 Sat.
enter your response here 56
Solution
The problem involves ratios that are equivalent across the three days. The ratio of hybrid vehicles to the total number of vehicles on Friday is given as:
Since the ratios for all days are equivalent, the ratio for Saturday and Sunday must also equal .
Saturday
You are provided the total number of vehicles on Saturday as 56. To find the number of hybrid vehicles on Saturday, we can set up a proportion:
Now, solve for the number of hybrids:
Thus, the number of hybrids on Saturday is 21.
Sunday
For Sunday, the number of hybrid vehicles is provided as 27. To find the total number of vehicles, we again set up a proportion:
Now solve for the total:
Thus, the total number of vehicles on Sunday is 72.
Completed Table:
Day | Hybrids | Total |
---|---|---|
Fri. | 3 | 8 |
Sat. | 21 | 56 |
Sun. | 27 | 72 |
Would you like further details or have any questions about this problem?
Related Questions:
- If the ratio had been 4:9, what would the table look like?
- How would you calculate the total number of vehicles if only the hybrids were known for all three days?
- Can you explain why ratios are helpful in problems like this?
- What is the total number of hybrid vehicles over the weekend?
- If the ratio was changed on Sunday to 1:3, what would be the total?
Tip: When dealing with equivalent ratios, setting up proportions is a reliable way to find unknown values.
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Math Problem Analysis
Mathematical Concepts
Ratios
Proportions
Algebra
Formulas
Ratio formula: hybrids / total vehicles
Proportion formula: (hybrids on day 1 / total on day 1) = (hybrids on day 2 / total on day 2)
Theorems
Proportion Theorem
Suitable Grade Level
Grades 6-8
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