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Troyanec [42]
3 years ago
7

A girl scout troop sold cookies. If the girls Sold 5 more boxes the second week than they did the first and if they doubled the

sales of the second week for the third week to sell a total of 31 boxes of cookies how many did they sell each week
Mathematics
1 answer:
Art [367]3 years ago
6 0
Since the girl scout sold 5 more boxes on the second week, we have (x + 5) number of boxes sold for the second week. Now, for the third week, since it's double that of the second week, we have 2(x + 5). Thus, we have the following:

first week: x
second week: x + 5
third week: 2(x + 5)

Given that the total number of boxes sold for the three weeks is 431. We have

x + (x + 5) + 2(x + 5) = 431
x + x + 5 + 2x + 10 = 431
4x + 15 = 431
4x = 431 - 15
4x = 416
x = 104

We have now the value of x. Using this, we can find the values for the second and third week.
x + 5 = `104 + 5 = 109
2(x + 5) = 2(109) = 218

Answer: 
first week: 104
second week: 109
third week: 218
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