Answer :
Final answer:
Given a ratio of chocolate to vanilla ice cream as 3:7, and that there are 147 scoops of vanilla ice cream, we find there are a total of 210 scoops of ice cream. We calculate this by understanding the value of each 'part' in our ratio in reality (21 scoops), then multiplying for the chocolate portion and adding to our known vanilla scoops.
Explanation:
The given ratio of chocolate to vanilla ice cream is 3:7.
This ratio means that for every 3 scoops of chocolate ice cream, there are 7 scoops of vanilla ice cream. Using this information, we can solve for the number of total scoops when there are 147 scoops of vanilla.
Since 7 scoops of vanilla ice cream correspond to 147 scoops in this case, we can say that each 'part' of the ratio (that is, each scoop in our ratio) is equal to 147 / 7 = 21 scoops in reality.
Then for the chocolate ice cream, which is 3 parts of our ratio, it would be 3 * 21 = 63 scoops.
The total number of scoops is then 147 (vanilla) + 63 (chocolate) = 210 scoops.
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