Prob(spinning a number < 3on 1 spin) = Prob( spinning 1 or 2) = 2/5
Prob( spinning <3 3 times) = 2/5 * 2/5 * 2/5 = 8/125
These events are independent so we multiply the probabilities.
Possible procedures:
1). peanut, peanut
2). peanut, cashew
3). peanut, pecan
4). cashew, peanut
5). cashew, cashew
6). cashew, pecan
7). pecan, peanut
8). pecan, cashew
9). pecan, pecan.
Nine (9) possible procedures.
But ...
(2) and (4) produce the same final result.
(3) and (7) produce the same final result.
(6) and (8) produce the same final result.
So there are only <em><u>six (6)</u></em> possible different outcomes.
42,376 ............................
With the help of the ratio method, we conclude that 72 grams of sugar should be added.
<h3>
What is Ratio Method?</h3>
- In the ratio method, we compare two quantities by equating their two ratios; this equation is also referred to as a proportion.
- The cross-multiplication method will be used to solve it.
So, 'n=5' will be the number of rings.
- 'w = 18 grams' will be the weight of each ring.
- Total weight: w₀ = n × w = 5 × 18 = 90 grams
Let 's' be silver. Then,
- New weight: wₙ = s + 90
- Old % of gold: p₀ = 90% = 0.9
- New % of gold: pₙ = 50% = 0.5
Now, use the ratio method as follows:


- 90 × 0.9 = 0.5 × (s + 90)
- 81 = 0.5s + 0.5 × 90
- 81 = 0.5s + 45
- 81 - 45 = 0.5s
- 36 = 0.5s
- 36/0.5 = s
- 72 = s
- So, s = 72
Therefore, with the help of the ratio method, we conclude that 72 grams of sugar should be added.
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The correct question is given below:
A jeweler has five rings, each weighing 18 grams, made of alloys of 10% silver and 90% gold. He decides to melt down the rings and add enough silver to reduce the gold content to 50%. How much silver should he add?