Which steps should you follow to write an equivalent ratio to find 120% of 700?

Question

StartFraction part Over whole EndFraction = StartFraction part Over whole EndFraction = StartFraction 120 times 1 Over 700 times 1 EndFraction = StartFraction 120 Over 170 EndFraction = mc001-3.jpg
mc001-4.jpg = StartFraction 100 times 5.83 Over 120 times 5.83 EndFraction = mc001-6.jpg
mc001-7.jpg = StartFraction 700 times 7 Over 100 times 7 EndFraction = mc001-9.jpg
mc001-10.jpg = StartFraction 120 times 7 Over 100 times 7 EndFraction = mc001-12.jpg

Answer 1

To find 120% of 700 using equivalent ratios, follow these steps:

1. Define the Ratio: Start by setting up the relationship between the part and the whole. In this case, we can express the problem as a ratio: \[ \frac{part}{whole} = \frac{120}{100} \] Here, "part" represents the amount we are trying to find (120% of a certain quantity), and "whole" is the base quantity (700 in this case).

2. Set Up the Equivalent Ratio: Set the part over the whole equal to the percentage ratio: \[ \frac{part}{700} = \frac{120}{100} \]

3. Cross-Multiply: To find the "part", cross-multiply to isolate it: \[ part \times 100 = 120 \times 700 \] This simplifies to: \[ part = \frac{120 \times 700}{100} \]

4. Calculate: Now, perform the calculation: \[ part = \frac{84000}{100} = 840 \]

5. Conclusion: Therefore, 120% of 700 is 840.

Each equivalent ratio step essentially breaks down the solution by setting up proportions, allowing us to calculate the part based on the known whole.