He spent a total of $112 on 14 music purchases. one Music CDs were on sale for $10 and cassettes were on sale for $3. How much did Andrew pay for each music CD and each cassette tape?

Elleanor Mckenzie 2021-03-07 Answered
He spent a total of $112 on 14 music purchases. one Music CDs were on sale for $10 and cassettes were on sale for $3. How much did Andrew pay for each music CD and each cassette tape?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Velsenw
Answered 2021-03-08 Author has 91 answers
M = Music CDs
C = cassettes
Create two equations, one for the number of music purchases he made (14) and one for the price of the music purchases ($112)
M + C = 14 ( this is the number of music purchases he made)
10M + 3C = 112 ( this is the price of the music purchases)
Isolate a variable, I isolated M
M + C = 14
M = 14 - C
Subsitute that variable into the other equation
10 M + 3C = 112
10(14-C) + 3C = 112 ( substitute our previous equation into M)
140 - 10C + 3C = 112
-10C + 3C = -28
-7C = -28
C = 4
Plug C back into either equation, I chose the simpler one
M + C = 14
M + (4) = 14
M = 10
Since he bought 4 cassettes for $3 dollars each 4($3) = $12 worth of cassettes.
Since he bought 10 Music CDs for $10 dollars each 10($10) = $100 worth of cassettes.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2020-11-22
Solve the equations and inequalities below, if possible. a.x1+13=13
b.6|x|>18
c.|3x2|2
d.452x3=310
e.(4x2)2100
f.(x1)3=8
asked 2021-12-04
Find the equation of thequadratic function whose graph is a parabola coordinating the points (0,4), (2, 10), and (-1, 10)
The equation of the quadratic function whose graph is a parabola containing the given points is yB
(type an equadratic using x and the vartable)
asked 2022-06-27
Let U Q 4 be the subspace induced by the following vectors:
u 1 = ( 2 2 6 0 ) , u 2 = ( 2 1 1 1 ) , u 3 = ( 1 0 2 1 )
Compute the dimension of U and find a homogeneous system of linear equations over Q with as few equations as possible, such that its solution set is U.
I've used Gaussian elimination and found out that U has dimension 3, hence u 1 , u 2 , u 3 form a basis of U.
My problem: I haven't been able to find the according linear system and I have no idea how I should proceed with this.
asked 2020-11-10
Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equations. {8x+3y=253x9y=12
asked 2021-11-26
Find equations of both lines through the point (2,3) thatare tangent to the parabola y=x2+x
asked 2022-01-22
How you would solve the following equation 2x213x7=0 by graphing?
asked 2021-12-05
To determine:
The value of the expression (-3)+15+8+(-20)+6+(-9).

New questions