totallynotspooked totallynotspooked
  • 04-01-2021
  • Mathematics
contestada

Jose bought 3 pens and 6 pencils for $6.60. Amy bought 5 pens and 8 pencils for $10.00. How much does one pencil cost?
Appreciate it :)

Respuesta :

clarch19
clarch19 clarch19
  • 04-01-2021

Answer:

pen = $1.20,  pencil = $0.50

Step-by-step explanation:

let x = pen

let y = pencil

create system of equations:

3x + 6y = 6.60        [can be simplified to be x + 2y = 2.20]

5x + 8y = 10.00

substitution method:

x = 2.2 - 2y

5(2.2 - 2y) + 8y = 10

11 - 10y + 8y = 10

-2y = -1

y = 1/2

solve for 'x':

3x + 6(1/2) = 6.6

3x + 3 = 6.6

3x = 3.6

x = 1.2

Answer Link

Otras preguntas

-1/2-(-1)-(1/4) help needed plz
Solve for y in the following equation: -4y + 8 = 9
Decide whether or not the ordered pair is a solution of the equation x + y=13;(6,7)
I have a swollen lymph node and I haven’t touched or some anything to it and it’s getting smaller, is that good?
Consent can be given when under the influence of drugs and alcohol True or False (this is a health question by the way) just putting English cause it's true and
9) If two ropes measure 3 2/3 yards and 8/9 yard, how much longer is the first rope than the second? I don’t know where to start on word problem number 9?
What does changing the "k" variable do to the graph of a quadratic?
a 4.50 g coin of copper absorbed 54 calories of heat. what was the final temperature of the copper if the initial temperature was 25°C? the specific heat of cop
what is another term for air movement caused by differences in air pressure is ___________
The points (6,y) and (7,9) fall on a line with a slope of 5 . ​ ​What is the value of y ? ​