Question

At one point in a Girl Scout cookie sales drive, region C had sold 1500 boxes of cookies, and region D had sold 1200 boxes of cookies. If region D tries harder, they can sell 50 more boxes of cookies every day than region C. a. How many days will it take for region D to catch up? b. If sales are stopped after 8 more days, can you tell how many total boxes each region sold? Explain.

Answer 1

Answer:

a)After 6 days region D will catch region C

b) Region C will sell 13500 cookies and region D will sell 13600 cookies

Step-by-step explanation:

a) Cookies sold by region C more than region D= 1500-1200=300

But region D can sells 50 cookies every day i-e

50 cookies = 1 day

==> 1 cookie= 1÷50

==> 300cookies = 300÷50=6 days

So, after 6 days region D will catch up region C's

b) If sale stopped after 8 days;

Then sale of region C for 8 days = 1500×8=12000 cookies

so , total cookies sold = 1500 +12000=13500

For region D;

Before catching up region C cookies sold by region D = 1200

Till catching up region C - region D had also sold 1500 cookies,

and for 50 extra cookies than region C

next 8 days region D will sale =(1500+50)×8=1550×8=12400 cookies

So, total number of cookies sold by region D = 1200+12400=13600

Answer 2

(a). Number of days to catch up region C by region D will be 6 days.

(b). Number of boxes sold by region C and region D will be 1500 and 1600  

      respectively.

   Given in the question,

• Region C had sold the cookies = 1500 boxes
• Region D had sold the cookies = 1200 boxes

If region D tries to sell more, number of boxes sold each day = 50

Therefore, equation for the amount of cookies sold by region D in x days will be,

C = 1200 + 50x

a). If region D sells the boxes of cookies equal to the number of boxes sold by region C,

1200 + 50x = 1500

(1200 + 50x) - 1200 = 1500 - 1200

50x = 300

x = 6 days

b). After 8 more days,

Number of boxes sold by region D = 1200 + 50(8)

                                                          = 1600

Number of boxes sold by region C = 1500

    Hence, (a). Number of days to catch up region C by region D will be 6 days.

(b). Number of boxes sold by region C and region D will be 1500 and 1600 respectively.

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