# In the book store,pencils and pens cost.different amount .two pencils and3 pens cost php50 the total cost of 3 pencils and 2 pens is php 45 what is the cost of 1 pencils

1
by latifa
1 pencil cost php 7
its because when you multiply 7x2 pencils = php14 and when you multiply 12x3 pens =php36 and when you add the two products, you will get 50 as their sum.
then, to get 45, you will multiply 7x3 pencils = php21 , 12x2 pens =24 then add the products and you will get php45

2015-09-25T18:08:58+08:00

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let the cost of one pencil be a and the cost of one pen be b.

2a + 3b = 50 ... [1]
3a + 2b = 45 ... [2]

3[2] - 2[1]
9a + 6b = 135
-4a - 6b = -100
5a  = 35
a   = 7

Therefore the cost of one pencil is 7 pesos.