a manager bought some stamps she gave 1/3 of them to the cashier and 1/5 of them to her secretary. if the secretary received 40 fewer stamps than the cashier how many did the cashier receive?

The cashier received 100 envelopes

Step-by-step explanation:

let the number of stamps bought be x.

Cashier will receive 1/3 *x = x/3

Secretary will receive = 1/5 * x = x/5

Now we are told that the secretary received 40 fewer.

This means that the difference between the amounts they received is 40

Mathematically;

x/3 - x/5 = 40

2x/15 = 40

x = (15 * 40)/2 = 600/2 = 300

The cashier received x/3 = 300/3 = 100

Cashier received 100 stamps

Step-by-step explanation:

1/3 to cashier

1/5 to secretary

Total stamps=x

Cashier=(1/3)x

Secretary=(1/5)x

Secretary received 40 fewer stamps than the cashier

Difference between cashier and secretary share=40

1/3x-1/5x=40

(2/15)x=40

40×15=2x

600=2x

x=300

Cashier=(1/3)x

=(1/3)300

=100