A teacher has a box of pens and pencils. There are 8 more pencils than pens. After the students take 1 pen and 5 pencils from th

Question

lions [1.4K]

3 years ago

14

A teacher has a box of pens and pencils. There are 8 more pencils than pens. After the students take 1 pen and 5 pencils from th

e box, there are 26 pens and pencils left in a box. How many pens are in the box now? How many pencils?

Mathematics

2 answers:

Yuliya22 [10] · Answer 1 · 2022-05-14T03:56:03+03:00

Yuliya22 [10]3 years ago

8 0

There are 9 pens and 17 pencils

crimeas [40] · Answer 2 · 2022-05-14T01:38:34+03:00

Let no. of pens be x.

Pens : x
Pencils: x+8

Total: 2x+8

Student takes 1 pen and 5 pencils.

Remainder: 2x+8 - 5 -1 = 2x+2
2x+2 = 26
2x= 24
x = 12 (original no. of pens)
x+ 8 = 20 (original no of pencils)

There are 12 pens at first and 20 pencils.
After 1 pen is taken, 11 pens are left.
After 5 pencils are taken, 20-5=15 pencils are left.