Math worksheet featuring ratio tables and a word problem about calculating earnings based on hourly pay.

Here are the step-by-step solutions for each problem in your homework.

Problem 6

Goal: Find the missing number of Boys.
* Look at the "Girls" row: The numbers go from 5 to 10.
* To get from 5 to 10, you multiply by 2 ($5 \times 2 = 10$).
* Do the same thing to the "Boys" row: Multiply the 1 by 2.
* $1 \times 2 = 2$.
* Missing Value: 2
* Equivalent Ratios: $1:5$ and $2:10$

Problem 7

Goal: Find the missing number of Cellos.
* Look at the "Violins" row: The numbers go from 8 to 24.
* To get from 8 to 24, you multiply by 3 ($8 \times 3 = 24$).
* Do the same thing to the "Cellos" row: Multiply the 3 by 3.
* $3 \times 3 = 9$.
* Missing Value: 9
* Equivalent Ratios: $8:3$ and $24:9$

Problem 8

Goal: Find the two missing values.
* First Missing Value (Taxis): Look at the "Buses" row. It goes from 5 to 15. That is multiplying by 3 ($5 \times 3 = 15$). So, multiply the Taxis number (6) by 3.
* $6 \times 3 = 18$.
* Second Missing Value (Buses): Look at the "Taxis" row again. It goes from 6 to 36. That is multiplying by 6 ($6 \times 6 = 36$). So, multiply the first Buses number (5) by 6.
* $5 \times 6 = 30$.
* Missing Values: 18 and 30
* Equivalent Ratios: $6:5$, $18:15$, and $36:30$

Problem 9

Goal: Find the two missing values.
* First Missing Value (Burgers): Look at the "Hot Dogs" row. It goes from 5 to 10. That is multiplying by 2 ($5 \times 2 = 10$). So, multiply the Burgers number (3) by 2.
* $3 \times 2 = 6$.
* Second Missing Value (Hot Dogs): Look at the "Burgers" row. It goes from 3 to 9. That is multiplying by 3 ($3 \times 3 = 9$). So, multiply the first Hot Dogs number (5) by 3.
* $5 \times 3 = 15$.
* Missing Values: 6 and 15
* Equivalent Ratios: $3:5$, $6:10$, and $9:15$

Problem 10

Goal: Find the two missing values.
* First Missing Value (Blankets): Look at the "Towels" row. It goes from 14 down to 7. That is dividing by 2 ($14 \div 2 = 7$). So, divide the Blankets number (8) by 2.
* $8 \div 2 = 4$.
* Second Missing Value (Towels): Look at the "Blankets" row. It goes from 8 up to 16. That is multiplying by 2 ($8 \times 2 = 16$). So, multiply the first Towels number (14) by 2.
* $14 \times 2 = 28$.
* Missing Values: 4 and 28
* Equivalent Ratios: $14:8$, $7:4$, and $28:16$

Problem 11

Goal: Find the two missing values.
* First Missing Value (Spoons): Look at the "Forks" row. It goes from 16 down to 8. That is dividing by 2 ($16 \div 2 = 8$). So, divide the Spoons number (10) by 2.
* $10 \div 2 = 5$.
* Second Missing Value (Forks): Look at the "Spoons" row. It goes from 10 up to 30. That is multiplying by 3 ($10 \times 3 = 30$). So, multiply the first Forks number (16) by 3.
* $16 \times 3 = 48$.
* Missing Values: 5 and 48
* Equivalent Ratios: $16:10$, $8:5$, and $48:30$

Problem 12

Goal: Calculate total pay for 8 hours of work.
* You earn $17 for every 2 hours.
* First, figure out how many "2-hour blocks" are in 8 hours.
* $8 \text{ hours} \div 2 \text{ hours} = 4$ blocks.
* Since you worked 4 blocks of time, multiply your pay rate by 4.
* $\$17 \times 4 = \$68$.
* Answer: $68

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Final Answer:
6. Missing value: 2. Equivalent ratios: 1:5, 2:10
7. Missing value: 9. Equivalent ratios: 8:3, 24:9
8. Missing values: 18, 30. Equivalent ratios: 6:5, 18:15, 36:30
9. Missing values: 6, 15. Equivalent ratios: 3:5, 6:10, 9:15
10. Missing values: 4, 28. Equivalent ratios: 14:8, 7:4, 28:16
11. Missing values: 5, 48. Equivalent ratios: 16:10, 8:5, 48:30
12. Your neighbor owes you $68.