In a mixture of two types of nuts, the ratio of almonds to cashews is 2:3. If there are 100 grams of almonds, how many grams of cashews are there?
Practice Questions
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Q1
In a mixture of two types of nuts, the ratio of almonds to cashews is 2:3. If there are 100 grams of almonds, how many grams of cashews are there?
150 grams
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If almonds = 2 parts, then cashews = (3/2) * 100 = 150 grams.
Questions & Step-by-step Solutions
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Q
Q: In a mixture of two types of nuts, the ratio of almonds to cashews is 2:3. If there are 100 grams of almonds, how many grams of cashews are there?
Solution: If almonds = 2 parts, then cashews = (3/2) * 100 = 150 grams.
Steps: 6
Step 1: Understand the ratio of almonds to cashews, which is 2:3.
Step 2: This means for every 2 parts of almonds, there are 3 parts of cashews.
Step 3: If we have 100 grams of almonds, we can find out how many grams of cashews correspond to that amount.
Step 4: First, find out how many grams one part represents. Since almonds are 2 parts, we divide the total grams of almonds by 2: 100 grams / 2 parts = 50 grams per part.
Step 5: Now, calculate the grams of cashews. Since cashews are 3 parts, we multiply the grams per part by 3: 50 grams/part * 3 parts = 150 grams.
Step 6: Therefore, there are 150 grams of cashews in the mixture.