SOLUTION: 9) The cost of 8 muffins and 2 quarts of milk is $18. The cost of 3 muffins and 1 quart of milk is $7.50. What is the cost of each item? 10) The length of a rectangle is 3 meters

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 9) The cost of 8 muffins and 2 quarts of milk is $18. The cost of 3 muffins and 1 quart of milk is $7.50. What is the cost of each item? 10) The length of a rectangle is 3 meters       Log On


   



Question 731825: 9) The cost of 8 muffins and 2 quarts of milk is $18. The cost of 3 muffins and 1 quart of milk is $7.50. What is the cost of each item?
10) The length of a rectangle is 3 meters more than the width. The perimeter is 26 meters. What are the dimensions of the rectangle?
11) A veterinarian examined twice as many cats as dogs. She examined a total of 30 cats and dogs. How many of each animal did she examine?
12) In one season, Naomi made four times as many goals as Kennedy. Together, they made 15 goals. How many goals did each girl make?

Found 3 solutions by lynnlo, ikleyn, timofer:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by ikleyn(53751) About Me  (Show Source):
You can put this solution on YOUR website!
.

Please, ONE and ONLY ONE problem per post.


Answer by timofer(155) About Me  (Show Source):
You can put this solution on YOUR website!
I will start the first two but you do the rest of what are needed yourself.

The muffins and milks
x muffins y quarts milk
system%288x%2B2y=18%2C3x%2By=7.5%29
Solve the system of simultaneous equations. Choose either substitution or elimination.

The rectangle
w for width
w+3 for the length
Given, perimeter is 26 meters.
Find w and w+3.
2%28w%2B3%29%2B2w=26, and obvious what to do.