The school store opened on the first day of school with 35 notebooks and 15 pencils. Within two days it sold all of these items. On the first day, twice as many notebooks were sold as pencils. On the second day, for every 5 notebooks sold, 2 pencils were sold. How many notebooks and how many pencils were sold on each day?

Question

The school store opened on the first day of school with 35 notebooks and 15 pencils. Within two days it sold all of these items. On the first​ day, twice as many notebooks were sold as pencils. On the second​ day, for every 5 notebooks​ sold, 2 pencils were sold. How many notebooks and how many pencils were sold on each​ day?

Reiny · Answer

first day:
number of pencils sold --- x
number of notebooks sold --- 2x
so there are 35-2x notebooks left and 15-x pencils

On the second day, for every 5 notebooks sold, 2 pencils were sold
---> 35-2x : 15-x = 5 : 2
70 - 4x = 75 - 5x
x = 5

first day sales: 5 pencils and 10 notebooks
2nd sales: 35-2x or 25 notebooks and 15-x or 10 pencils

notice 25: 10 = 5 : 2