Last month a store sold 4 times as many tapes as CDs. If the total quantity of these two items sold was 360, how many tapes did the store sell?
Let C = number of CDs.
C + 4C = 360
5C = 360
C = 72
To solve this problem, we can set up a system of equations.
Let's assume the number of CDs sold in a month is represented by 'C', and the number of tapes sold is represented by 'T'.
According to the problem, we are given two conditions:
1) The store sold 4 times as many tapes as CDs: T = 4C
2) The total quantity of CDs and tapes sold was 360: C + T = 360
We can substitute the value of T from the first equation (T = 4C) into the second equation to solve for C:
C + 4C = 360
5C = 360
C = 360 / 5
C = 72
Now we can substitute the value of C into the first equation to find the value of T:
T = 4C
T = 4 * 72
T = 288
Therefore, the store sold 288 tapes.