Anthony got a job babysitting. Each hour he works he will be paid $8.00. As a bonus, he will earn an additional $1.50 per hour for each child he watches. If his total hourly rate is $12.50, how many children does he watch?
Write an equation in the form px+q=r to represent this problem.
To solve this problem, we need to set up an equation using the given information. Let's break down the problem:
Anthony is paid $8.00 per hour for his work, and in addition to that, he earns an extra $1.50 per hour for each child he watches. So, the amount he earns for each hour can be represented as $8.00 + ($1.50 x number of children he watches).
If his total hourly rate is $12.50, we can set up the equation:
$8.00 + ($1.50 x number of children) = $12.50.
In this equation, the "number of children" is the variable we need to solve for.
Now, let's write this equation in the form px + q = r:
1.50x + 8.00 = 12.50,
Where:
p = 1.50 (the rate for each child)
x = number of children
q = 8.00 (the base rate for Anthony)
r = 12.50 (the total hourly rate)
So, the equation in the form px + q = r representing this problem is 1.50x + 8.00 = 12.50.
Let x be the number of children Anthony watches.
The equation to represent this problem is:
$8.00 + $1.50x = $12.50
Susan read 17 pages today. That is 8 pages fewer than 1/3 of the pages she read yesterday. How many pages did she read yesterday?
Let's assume that Anthony is watching x number of children.
According to the problem, Anthony will be paid $8.00 per hour, and he will earn an additional $1.50 per hour for each child he watches. Therefore, the amount he earns per hour for watching children will be x * $1.50.
So, his total hourly rate will be $8.00 + x * $1.50.
According to the problem, his total hourly rate is $12.50.
Hence, we can write the equation in the form px + q = r as follows:
$8.00 + x * $1.50 = $12.50
Simplifying the equation, we get:
8 + 1.5x = 12.5
Subtracting 8 from both sides, we get:
1.5x = 4.5
Dividing both sides by 1.5, we get:
x = 3
Therefore, Anthony watches 3 children.