At the beginning of the month, a song on a streaming service already had 1,000 listens, and was getting 38 new listens each day. Meanwhile, a different song already had 900 listens, and was getting 40 new listens each day. Write an equation to show the number of days it would take for the two songs to have the same number of listens. Use x as your variable...
1000 + 38x = 900 + 40x
An ice skating rink has two ways you can use the facility. The first option is to pay $10 per visit. The second option is to pay $32 per month, and $6 per visit. Write and solve an equation to show the number of visits it would take for the cost of the two plans to be equal.
Let x be the number of visits.
For the first option, the cost would be 10x.
For the second option, the cost would be 32 + 6x.
Setting them equal to each other:
10x = 32 + 6x
Subtracting 6x from both sides:
4x = 32
Dividing by 4:
x = 8
It would take 8 visits for the cost of the two plans to be equal.