‘I-Moons’ charges $12 per album downloaded and an initial joining fee of $3. ‘I-Toons’ Charges $10 per album downloaded and a joining fee of $9. Write a system of linear equations that models this situation. Determine how many albums (x) it will take for the cost (y) to be the same. What does that cost?

y = 3 + 12x - - - (1)

y = 9 + 10x - - - (2)

3 albums

$39

Step-by-step explanation:

Let number of download = x

Given :

I-moon :

Initial joining fee = $3

Cost per download = $12

Hence,

y = 3 + 12x - - - (1)

I - Toons :

Initial joining fee = $9

Cost per download = $10

y = 9 + 10x - - - (2)

For cost to be the same ;

Equate (1) and (2)

3 + 12x = 9 + 10x

Collect like terms

3 - 9 = 10x - 12x

-6 = - 2x

x = 3

It will take 3 albums

Cost :

3 + 12(3)

3 + 36 = 39

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.