Identify the proportion listed below that solves this problem.
It will take 13 people to pick 112 watermelons in a day. How many people will it take to pick 200 watermelons in a day?
13/112 = x/200
To solve this problem, we need to identify the proportion that relates the number of people and the number of watermelons picked in a day.
Let's set up the proportion using the given information:
13 people : 112 watermelons = x people : 200 watermelons
To find the missing value, x, we can cross-multiply and solve for x.
Cross-multiplying:
(13 people) * (200 watermelons) = (112 watermelons) * (x people)
2600 = 112x
Now, divide both sides of the equation by 112:
2600 / 112 = x
x ≈ 23.21
Rounding to the nearest whole number, it will take approximately 23 people to pick 200 watermelons in a day.