Statement Sums involving Ratios
Statement Sums involving Ratios
Statement Sums involving Ratios:
Ratio problems: Two-term Ratios
Example 1:
In a bag of red and green sweets, the ratio of red sweets to green sweets is 3:4. If the bag contains 120 green sweets, how many red sweets are there?
Solution:
Step 1: Assign variables :
Let x = red sweets
Write the items in the ratio as a fraction.
Step 2: Solve the equation
Cross Multiply
3 × 120 = 4 × x360 = 4x
Isolate variable x
Answer: There are 90 red sweets.
Example 2:
John has 30 marbles, 18 of which are red and 12 of which are blue. Jane has 20 marbles, all of them either red or blue. If the ratio of the red marbles to the blue marbles is the same for both John and Jane, then John has how many more blue marbles than Jane?
Solution:
Step 1: Sentence: Jane has 20 marbles, all of them either red or blue.
Assign variables:
Let x = blue marbles for Jane20 – x = red marbles for Jane
We get the ratio from JohnJohn has 30 marbles, 18 of which are red and 12 of which are blue.
We use the same ratio for Jane.
Step 2: Solve the equation
Cross Multiply
3 × x = 2 × (20 – x)3x = 40 – 2x
Isolate variable x
John has 12 blue marbles. So, he has 12 – 8 = 4 more blue marbles than Jane.
Answer: John has 4 more blue marbles than Jane.
A goldsmith mixes gold and copper in the ratio 7:4. Another goldsmith mixes these in the ratio 8:6. Whose quality is better ? | |||
| Right Option : D | |||
| View Explanation | |||
Divide Rs. 231 in the ratio 3:4. | |||
| Right Option : D | |||
| View Explanation | |||
Find the measures of a triangle if the ratio of their measures is 4:3:11. | |||
| Right Option : A | |||
| View Explanation | |||
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