Answer:
21:6, 7:2, 14:4
Step-by-step explanation:
This table represents the ratios. For 21 square meters of fabric, Harry can make 6 wizard cloaks. We're trying to find a) how many cloaks we can make out of 7 square meters, and b) how many square meters is needed for 4 cloaks.
A)
- Simplify the ratio by finding the LCD (Lowest Common Denominator) of 21 and 7
- LCD=3 *LCDs are greater than 1*
- 21/3 and 6/3
- The new ratio is 7:2
- You can make 2 cloaks out of 7 square meters of fabric
B)
- For this one, it's a little different. You're essentially working backwards.
- The easiest way to find this one, is finding out how many square meters of fabric are needed for 1 cloak.
- divide 21 by 6 to find this
- 21/6 = 3.5
- You will need 3.5 square meters of fabric for 1 cloak
- Multiply this by 4 to find the amount of fabric needed for 4 cloaks
- 3.5*4 = 14, 1*4 = 4
- your new ratio is 14:4
- You can make 4 cloaks out of 14 square meters of fabric.
- *You could also just multiply the last ratio by 2. 7:2 would be 14:4*
