Let x be the number of children Anthony watches.
The total hourly rate Anthony earns is 8.00 + (1.50)x.
To represent the problem in the form px + q = r, the equation is 8.00 + (1.50)x = 12.50.
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.
7 answers
So what is px + q = r
In the given problem, let x represent the number of children Anthony watches.
The base rate per hour for each child is $1.50 (p = 1.50).
The number of children is x.
The base hourly rate for Anthony is $8.00 (q = 8.00).
The total hourly rate Anthony earns is $12.50 (r = 12.50).
Therefore, the equation representing this problem is:
1.50x + 8.00 = 12.50
This equation represents that Anthony earns $1.50 per child per hour plus his base hourly rate of $8.00, which totals to $12.50 per hour.
The base rate per hour for each child is $1.50 (p = 1.50).
The number of children is x.
The base hourly rate for Anthony is $8.00 (q = 8.00).
The total hourly rate Anthony earns is $12.50 (r = 12.50).
Therefore, the equation representing this problem is:
1.50x + 8.00 = 12.50
This equation represents that Anthony earns $1.50 per child per hour plus his base hourly rate of $8.00, which totals to $12.50 per hour.
Susan reads 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 the number of pages Susan read yesterday is 'x'.
According to the problem, Susan read 8 pages fewer than 1/3 of the pages she read yesterday.
So, 1/3 of the pages she read yesterday is (1/3)x.
Therefore, the equation representing this problem is:
(1/3)x - 8 = 17.
Simplifying the equation, we can solve for 'x':
(1/3)x = 17 + 8
(1/3)x = 25
Multiplying both sides by 3:
x = 25 * 3
x = 75
Hence, Susan read 75 pages yesterday.
According to the problem, Susan read 8 pages fewer than 1/3 of the pages she read yesterday.
So, 1/3 of the pages she read yesterday is (1/3)x.
Therefore, the equation representing this problem is:
(1/3)x - 8 = 17.
Simplifying the equation, we can solve for 'x':
(1/3)x = 17 + 8
(1/3)x = 25
Multiplying both sides by 3:
x = 25 * 3
x = 75
Hence, Susan read 75 pages yesterday.
Karen measured her height as 59 inches. That is 27 inches more than half her older sister's height. How tall is her older sister?
Let's assume the height of Karen's older sister is 'x' inches.
According to the problem, Karen's height is 27 inches more than half her older sister's height.
So, half of her older sister's height is (1/2)x inches, and 27 inches more than that would be (1/2)x + 27 inches.
Therefore, the equation representing this problem is:
(1/2)x + 27 = 59.
Simplifying the equation, we can solve for 'x':
(1/2)x = 59 - 27
(1/2)x = 32
Multiplying both sides by 2:
x = 32 * 2
x = 64
Hence, Karen's older sister is 64 inches tall.
According to the problem, Karen's height is 27 inches more than half her older sister's height.
So, half of her older sister's height is (1/2)x inches, and 27 inches more than that would be (1/2)x + 27 inches.
Therefore, the equation representing this problem is:
(1/2)x + 27 = 59.
Simplifying the equation, we can solve for 'x':
(1/2)x = 59 - 27
(1/2)x = 32
Multiplying both sides by 2:
x = 32 * 2
x = 64
Hence, Karen's older sister is 64 inches tall.
1 answer