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
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Part 1
Day
Hybrids
Total
Fri.
3
8
Sat.

enter your response here
56

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:

\[
\frac{\text{Hybrids on Friday}}{\text{Total on Friday}} = \frac{3}{8}
\]

Since the ratios for all days are equivalent, the ratio for **Saturday** and **Sunday** must also equal \( \frac{3}{8} \).

### 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:

\[
\frac{3}{8} = \frac{\text{Hybrids on Saturday}}{56}
\]

Now, solve for the number of hybrids:

\[
\text{Hybrids on Saturday} = \frac{3}{8} \times 56 = 21
\]

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:

\[
\frac{3}{8} = \frac{27}{\text{Total on Sunday}}
\]

Now solve for the total:

\[
\text{Total on Sunday} = \frac{8 \times 27}{3} = 72
\]

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:
1. If the ratio had been 4:9, what would the table look like?
2. How would you calculate the total number of vehicles if only the hybrids were known for all three days?
3. Can you explain why ratios are helpful in problems like this?
4. What is the total number of hybrid vehicles over the weekend?
5. 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.

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

Learn how to complete a table of hybrid vehicle counts and total vehicles using equivalent ratios across three days. Solve for missing values using proportions and algebraic calculations. This problem covers key ratio concepts and is suitable for students in Grades 6-8.

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