Sean plan to join a streaming music service. One plan is $20 down plus monthly payments of $10 a month. The second plan is $40 down and $8 a month. How many month with the total amount paid be the same for both companies? What would the amount be?

10 months

Step-by-step explanation:

Let X represent the number of months

The cost equation for the first plan = $20 + 10x

The cost equation for the second plan = $ 40+8x

The number of months at which the cost for the two plans will be equal can be worked out by equating the costs for the two plans and then calculate the value of x.

Thus,

$20+10x = $40 + 8x

10x - 8x = $40-$20

2x = $ 20

x = 20/2

x = 10

Substituting X in each equation,

$20 + $10 (10) = $40 + $8 (10)

$ 20 + $100 = $40 + $80

$120 = $120

Thus, the amount after ten months = $120