The play director spent190 hours preparing for a play. That time included attending 35 rehearsals that took varying amounts of time and spending 93 and 3/4 hours on other responsibilities related to the play. What question does the equation 35x + 93 and 3/4 = 190

Identify time spent: Identify the total time spent by the play director and the time spent on other responsibilities. Total time spent: 190 hours Time spent on other responsibilities: 93 and 3/4 hoursConvert to improper fraction: Convert the mixed number (93 and 3/4 hours) to an improper fraction to make calculations easier. 93 and 3/4 hours = (93 * 4 + 3) / 4 = (372 + 3) / 4 = 375 / 4 hoursSubtract for rehearsals: Subtract the time spent on other responsibilities from the total time to find the total time spent on rehearsals. Total time spent on rehearsals = Total time spent - Time spent on other responsibilities Total time spent on rehearsals = 190 - (375 / 4)Convert to hours: Convert the total time spent on rehearsals to hours by evaluating the subtraction. Total time spent on rehearsals = 190 - 93.75 Total time spent on rehearsals = 96.25 hoursSet up equation: Set up the equation to find the average time spent per rehearsal. Let x represent the average time spent per rehearsal. The equation is 35x + 93.75 = 190Solve for x: Solve the equation for x to find the average time spent per rehearsal. 35x = 190 - 93.75 35x = 96.25 x = 96.25 / 35Calculate average time: Calculate the average time spent per rehearsal. x = 96.25 / 35 x = 2.75 hours

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The play director spent $190$ hours preparing for a play. That time included attending $35$ rehearsals that took varying amounts of time and spending $93\frac{3}{4}$ hours on other responsibilities related to the play. What question does the equation $35x + 93\frac{3}{4} = 190$ .

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Grade 7

Evaluate two-variable equations: word problems

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Q. The play director spent

190

hours preparing for a play. That time included attending

35

rehearsals that took varying amounts of time and spending

93\frac{3}{4}

hours on other responsibilities related to the play. What question does the equation

35x + 93\frac{3}{4} = 190

Identify time spent: Identify the total time spent by the play director and the time spent on other responsibilities. $\newline$ Total time spent: $190$ hours $\newline$ Time spent on other responsibilities: $93$ and $\frac{3}{4}$ hours
Convert to improper fraction: Convert the mixed number $93$ and $\frac{3}{4}$ hours to an improper fraction to make calculations easier. $\newline$ $93$ and $\frac{3}{4}$ hours = $\left(93 \times 4 + 3\right) / 4 = \left(372 + 3\right) / 4 = \frac{375}{4}$ hours
Subtract for rehearsals: Subtract the time spent on other responsibilities from the total time to find the total time spent on rehearsals. $\newline$ Total time spent on rehearsals $=$ Total time spent $-$ Time spent on other responsibilities $\newline$ Total time spent on rehearsals $= 190 - (375 / 4)$
Convert to hours: Convert the total time spent on rehearsals to hours by evaluating the subtraction. $\newline$ Total time spent on rehearsals = $190 - 93.75$ $\newline$ Total time spent on rehearsals = $96.25$ hours
Set up equation: Set up the equation to find the average time spent per rehearsal. Let $x$ represent the average time spent per rehearsal. The equation is $35x + 93.75 = 190$
Solve for x: Solve the equation for x to find the average time spent per rehearsal. $\newline$ $35x = 190 - 93.75$ $\newline$ $35x = 96.25$ $\newline$ $x = \frac{96.25}{35}$
Calculate average time: Calculate the average time spent per rehearsal. $\newline$ $x = \frac{96.25}{35}$ $\newline$ $x = 2.75$ hours