Amaka buys 4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils. If a pencil cost #8, how much does a ruler cost?

 ruler cost $12

Step-by-step explanation:

step 1

Let cost of ruler  be represented as r

and cost of pencil be represented as p

we were given that

4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as

4r + p = 2r+ 4p

and cost of pencil= $8

therefore

sTEP 2--- Solving

4r+ 8 = 2r+ 4 x8

4r+ 8 = 2r+ 32

4r - 2r= 32-8

2r= 24

r= 24/2 = r= $12

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,