SOLUTION: Pens are 10p more than pencils. 6 pens and 4 pencils cost £2.10. Assuming a pencil is t, construct an equation to show this information.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Pens are 10p more than pencils. 6 pens and 4 pencils cost £2.10. Assuming a pencil is t, construct an equation to show this information.      Log On


   

Question 1002621: Pens are 10p more than pencils. 6 pens and 4 pencils cost £2.10. Assuming a pencil is t, construct an equation to show this information.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Pens are 10p=£0.10 more than pencils.
Assuming a pencil is t, we have that pen cost t%2B0.10
then, if 6 pens and 4 pencils cost £2.10, we have
6%28t%2B0.10%29%2B4t=2.10.....an equation to show this information
now you can solve for t and find out what is the price of each item
6t%2B0.60%2B4t=2.10
10t=2.10-0.60
10t=1.50
t=1.50%2F10
t=0.15......one pencil cost £0.15
then pen cost £t%2B0.10=0.15%2B0.10=0.25
check:6 pens and 4 pencils cost £2.10
£6%2A0.25%2B4%2A0.15=2.10
£1.50%2B0.60=2.10
£2.10=2.10