Explanation:
Let’s solve both problems step by step.
Problem 1:
"For every 6 cups of flour, 3 cakes can be made."
That means the ratio is:
6 cups flour → 3 cakes
So, for
1 cup of flour, how many cakes?
3 ÷ 6 = 0.5 cakes per cup.
Now fill in the table:
- 6 cups → 3 cakes (given)
- 12 cups = 2 × 6 cups → 2 × 3 =
6 cakes
- 18 cups = 3 × 6 cups → 3 × 3 =
9 cakes
- 24 cups = 4 × 6 cups → 4 × 3 =
12 cakes
So the completed table is:
| CUPS OF FLOUR | CAKES |
|---------------|-------|
| 6 | 3 |
| 12 | 6 |
| 18 | 9 |
| 24 | 12 |
Problem 2:
"Every bag of gummy bears has 19 pieces."
So:
- 2 bags → 2 × 19 =
38 pieces
- 4 bags → 4 × 19 =
76 pieces
- 6 bags → 6 × 19 =
114 pieces
- 8 bags → 8 × 19 =
152 pieces
Check:
19 × 2 = 38 ✔
19 × 4 = (20−1)×4 = 80−4 = 76 ✔
19 × 6 = (20−1)×6 = 120−6 = 114 ✔
19 × 8 = (20−1)×8 = 160−8 = 152 ✔
So the completed table is:
| BAGS | PIECES |
|------|--------|
| 2 | 38 |
| 4 | 76 |
| 6 | 114 |
| 8 | 152 |
Final Answer:
Problem 1 table:
Cups of flour: 6 → 3 cakes; 12 → 6 cakes; 18 → 9 cakes; 24 → 12 cakes
Problem 2 table:
Bags: 2 → 38 pieces; 4 → 76 pieces; 6 → 114 pieces; 8 → 152 pieces
Parent Tip: Review the logic above to help your child master the concept of graphing ratio tables worksheet.