Write an equation in the form px+q=r to represent this problem.
___ x + ____ = _____
Fill in the blanks
5 answers
To represent the problem in the form \( px + q = r \), we can set the following:
The total hourly rate he earns can be represented as:
\[ 8 + 1.5x = 12.5 \]
Now we can fill in the blanks for the equation \( px + q = r \):
So the equation would be:
1.5 x + 8 = 12.5
Let's denote the number of pages Susan read yesterday as \( y \).
According to the problem, 1/3 of the pages she read yesterday is equal to the number of pages she read today plus 8 pages. We can express this relationship in an equation:
\[ \frac{1}{3}y - 8 = 17 \]
To solve for \( y \), we first add 8 to both sides of the equation:
\[ \frac{1}{3}y = 17 + 8 \] \[ \frac{1}{3}y = 25 \]
Next, we multiply both sides by 3 to isolate \( y \):
\[ y = 25 \times 3 \] \[ y = 75 \]
So, Susan read 75 pages yesterday.
Let the height of Karen's older sister be denoted as \( h \) inches.
According to the problem, Karen's height (59 inches) is 27 inches more than half of her sister's height. We can represent this relationship with the following equation:
\[ 59 = \frac{1}{2}h + 27 \]
To solve for \( h \), we first subtract 27 from both sides:
\[ 59 - 27 = \frac{1}{2}h \] \[ 32 = \frac{1}{2}h \]
Next, we multiply both sides by 2 to isolate \( h \):
\[ h = 32 \times 2 \] \[ h = 64 \]
Therefore, Karen's older sister is 64 inches tall.
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