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A local deli makes turkey sandwiches and salami sandwiches at a weekly ratio of 2 salami sandwiches for every 5 turkey sandwiches. If the deli makes 60 turkey sandwiches this week, how many salami sandwiches did they make?

User Ggdx
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2 Answers

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Final answer:

By dividing 60 turkey sandwiches by the ratio of 5 turkey sandwiches in each set, we find there are 12 sets. Multiplying this by the 2 salami sandwiches per set, we calculate the deli made 24 salami sandwiches.

Step-by-step explanation:

To solve the problem, we need to use the concept of ratios. The deli makes turkey and salami sandwiches at a weekly ratio of 2 salami sandwiches for every 5 turkey sandwiches. If 60 turkey sandwiches are made, we first need to determine how many 'sets' of ratios are present in those 60 sandwiches.

To do this, we divide the total number of turkey sandwiches (60) by the number of turkey sandwiches per set of ratios (5). So, we get:

  • Number of sets = 60 turkey sandwiches / 5 turkey sandwiches per set = 12 sets

Now, we can find out how many salami sandwiches were made by multiplying the number of sets (12) by the number of salami sandwiches per set from the ratio (2):

  • Number of salami sandwiches = Number of sets × Number of salami sandwiches per set = 12 sets × 2 salami sandwiches per set

Therefore, the deli made 24 salami sandwiches this week.

User Domanskyi
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5 votes

Answer:

24

Step-by-step explanation:

Setting x as the number of salami sandwiches:

2/5 = x/60

Cross-multiplying: 5x = 2 × 60

Simplifying: 5x = 120

Division: x = 24

User SamR
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