While doing back to school shopping on tax-free weekend, mrs. michaels bought 2 packs of mechanical pencils and 3 binders for a total cost of $21.00. mr. lawrence bought 5 of the same packs of mechanical pencils and 2 of the same binders for a total of $25.00. how much does each pack of pencils cost? *

$3.00  

Step-by-step explanation:

Let p = the cost of a pack of pencils

and b = the cost of a binder

Then we have two simultaneous equations.

(1)  2p + 3b  = 21.00

(2) 5p + 2b = 25.00

1. Multiply each equation by numbers to give one of the variables the same coefficient.

Multiply (1) by 2 and (2) by 3.This gives

(3)  4p + 6b = 42.00

(4) 15p + 6b = 75.00

2. Subtract (3) from (4)

This gives

(5) 11p = 33.00

3. Solve equation (5) for p

Divide each side by 11

p = 3.00

Each pack of pencils costs $3.00.

step-by-step explanation: the answer for wha if rt is 10 centimeters long, and wha is st? it’s 6