At a popular salad bar, customers can choose from iceberg lettuce, romaine lettuce, or spinach. Yesterday, 413 customers made a salad at the salad bar. 3 times as many people chose iceberg lettuce as chose spinach. The same number of customers chose romaine lettuce as chose iceberg lettuce.How many customers chose iceberg lettuce for their salad yesterday?
Question
At a popular salad bar, customers can choose from iceberg lettuce, romaine lettuce, or spinach. Yesterday, 413 customers made a salad at the salad bar. 3 times as many people chose iceberg lettuce as chose spinach. The same number of customers chose romaine lettuce as chose iceberg lettuce.How many customers chose iceberg lettuce for their salad yesterday?
Solution
Let's denote the number of customers who chose spinach as x.
According to the problem, 3 times as many people chose iceberg lettuce as chose spinach. So, the number of customers who chose iceberg lettuce is 3x.
The problem also states that the same number of customers chose romaine lettuce as chose iceberg lettuce. So, the number of customers who chose romaine lettuce is also 3x.
Therefore, the total number of customers who made a salad at the salad bar is the sum of the customers who chose spinach, iceberg lettuce, and romaine lettuce, which is x + 3x + 3x = 413.
Solving this equation for x gives us x = 413 / 7 = 59.
So, 59 customers chose spinach.
Since 3 times as many people chose iceberg lettuce as chose spinach, 3 * 59 = 177 customers chose iceberg lettuce for their salad yesterday.
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