Looking at the worksheet, I need to solve problems 1 through 12. These are all ratio word problems where students fill in blanks based on given ratios.
Let me work through each one carefully:
Problem 1: Ratio of hamburgers to hotdogs is 2:7
- For every ___ hamburgers sold there were ___ hotdogs sold.
- Answer: For every 2 hamburgers sold there were 7 hotdogs sold.
Problem 2: Ratio of votes for Haley to Paul is 8:4
- For every ___ votes Paul got Haley got ___ votes.
- Wait, this is tricky. The ratio says Haley:Paul = 8:4
- So for every 4 votes Paul got, Haley got 8 votes.
- Answer: For every 4 votes Paul got Haley got 8 votes.
Problem 3: Ratio of green apples to red apples is 7:9
- What is the ratio of green apples to red apples?
- This is already given as 7:9
- Answer: 7:9
Problem 4: Ratio of regular sodas to diet sodas is 9:9
- What is the ratio of regular sodas to diet sodas sold?
- Given as 9:9, which simplifies to 1:1
- But since they gave 9:9, I'll keep it as 9:9 unless asked to simplify
- Actually, looking at the pattern, they probably want 9:9 or simplified to 1:1
- Let me check the example - they used 4:9 and didn't simplify
- Answer: 9:9 (or 1:1 if simplified)
Problem 5: Ratio of books to movies is 3:6
- For every ___ books sold there were ___ movies sold.
- Answer: For every 3 books sold there were 6 movies sold.
Problem 6: Ratio of dogs to cats is 5:3
- What is the ratio of dogs to cats?
- Already given as 5:3
- Answer: 5:3
Problem 7: Ratio of chocolate pieces to sugar pieces is 7:2
- For every ___ chocolate pieces there are ___ sugar pieces.
- Answer: For every 7 chocolate pieces there are 2 sugar pieces.
Problem 8: Ratio of boys to girls is 5:3
- For every ___ girls there are ___ boys.
- Important: They're asking about girls first, but the ratio is boys:girls = 5:3
- So for every 3 girls, there are 5 boys
- Answer: For every 3 girls there are 5 boys.
Problem 9: Ratio of rides to games is 3:4
- What is the ratio of rides to games?
- Already given as 3:4
- Answer: 3:4
Problem 10: Ratio of long sleeve shirts to short sleeve shirts is 2:8
- For every ___ short sleeve shirts there were ___ long sleeve shirts.
- Again, careful with order! The ratio is long:short = 2:8
- So for every 8 short sleeve shirts, there are 2 long sleeve shirts
- Answer: For every 8 short sleeve shirts there were 2 long sleeve shirts.
Problem 11: Ratio of pickles to onions is 6:3
- For every ___ onions there are ___ pickles.
- Careful again! Ratio is pickles:onions = 6:3
- So for every 3 onions, there are 6 pickles
- Answer: For every 3 onions there are 6 pickles.
Problem 12: Ratio of Wii games to PS3 games is 2:9
- For every ___ PS3 games he had ___ Wii games.
- Ratio is Wii:PS3 = 2:9
- So for every 9 PS3 games, he had 2 Wii games
- Answer: For every 9 PS3 games he had 2 Wii games.
Now let me double-check my answers, especially the ones where the question asks for the reverse order of the ratio:
Problem 2: Correct - Haley:Paul = 8:4, so for every 4 Paul votes, Haley got 8
Problem 8: Correct - Boys:Girls = 5:3, so for every 3 girls, 5 boys
Problem 10: Correct - Long:Short = 2:8, so for every 8 short, 2 long
Problem 11: Correct - Pickles:Onions = 6:3, so for every 3 onions, 6 pickles
Problem 12: Correct - Wii:PS3 = 2:9, so for every 9 PS3, 2 Wii
All calculations look correct.
Final Answer:
1) 2, 7
2) 4, 8
3) 7:9
4) 9:9 (or 1:1)
5) 3, 6
6) 5:3
7) 7, 2
8) 3, 5
9) 3:4
10) 8, 2
11) 3, 6
12) 9, 2
Parent Tip: Review the logic above to help your child master the concept of ratio worksheet.