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 431 boxes of cookies, how many did they sell each week?
Yea i juss did the problem on paper an got the same answer. Thank yu :)
Say x is the number of boxes sold in week 1, then:
Boxes in week 1: x
Boxes in week 2: x + 5
Boxes in week 3: 2x + 10
Total boxes = 4x + 15
4x + 15 = 431
x = 104
So in week 1 there was sold
x = 104
in week 2:
x + 5 = 109
in week 3:
2x + 10 = 218
Let's solve this step-by-step:
Let's assume the number of boxes sold in the first week is x.
According to the problem, the girls sold 5 more boxes in the second week than they did in the first week. So, the number of boxes sold in the second week is x + 5.
The sales of the second week were doubled for the third week, which means they sold 2(x + 5) = 2x + 10 boxes in the third week.
The total number of boxes sold over the three weeks is 431, so we can add up the boxes sold in each week:
x + (x + 5) + (2x + 10) = 431
Now, let's solve the equation:
Combine like terms:
4x + 15 = 431
Subtract 15 from both sides:
4x = 416
Divide both sides by 4:
x = 104
So, they sold 104 boxes in the first week.
Now we can plug in the value of x to find the number of boxes sold in each week:
First week: x = 104
Second week: x + 5 = 104 + 5 = 109
Third week: 2(x + 5) = 2(109) = 218
Therefore, the girl scout troop sold 104 boxes in the first week, 109 boxes in the second week, and 218 boxes in the third week.
To solve this problem, let's break it down step by step:
1. Let's assume that the number of boxes sold in the first week is "x."
2. According to the problem, the second week's sales were 5 more boxes than the first week's sales. So, the number of boxes sold in the second week is "x + 5."
3. The third week's sales were double the second week's sales. Therefore, the number of boxes sold in the third week is "2 * (x + 5)."
4. The total number of boxes sold in all three weeks is 431. So, we can set up an equation: x + (x + 5) + 2 * (x + 5) = 431, combining all the box totals for the weeks.
5. Simplifying the equation, we have:
x + (x + 5) + 2 * (x + 5) = 431
x + x + 5 + 2x + 10 = 431
4x + 15 = 431
4x = 416
x = 104
6. Therefore, the number of boxes sold in the first week is 104, the second week is 104 + 5 = 109, and the third week is 2 * (104 + 5) = 218.
So, the girl scout troop sold 104 boxes in the first week, 109 boxes in the second week, and 218 boxes in the third week.