Solved on Nov 30, 2023

Find the number of hours Henry must work to earn $221 using a unit rate given he made$ 91 for 7 hours of work.

STEP 1

Assumptions
1. Henry made $91 for 7 hours of work.<br />2. The rate of pay is constant.<br />3. We need to find out how many hours Henry would need to work to make$ 221.

STEP 2

First, we need to find the unit rate, which is the amount Henry makes per hour. We can do this by dividing the total amount he made by the total hours he worked.
$Unit\, rate = \frac{Total\, amount}{Total\, hours}$

STEP 3

Now, plug in the given values for the total amount and total hours to calculate the unit rate.
$Unit\, rate = \frac{\$91}{7\, hours}$

STEP 4

Calculate the unit rate.
$Unit\, rate = \frac{\$91}{7\, hours} = \$13/hour$

STEP 5

Now that we have the unit rate, we can find out how many hours Henry would need to work to make $221. We can do this by dividing the total amount he needs to make by the unit rate.
$Hours\, needed = \frac{Total\, amount}{Unit\, rate}$

STEP 6

Plug in the values for the total amount and the unit rate to calculate the hours needed.
$Hours\, needed = \frac{\$221}{\$13/hour}$

STEP 7

Calculate the hours needed.
$Hours\, needed = \frac{\$221}{\$13/hour} = 17\, hours$
Henry needs to work 17 hours to make $221.

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Find the number of hours Henry must work to earn $221 using a unit rate given he made$ 91 for 7 hours of work.

STEP 1

Assumptions
1. Henry made $91 for 7 hours of work.<br />2. The rate of pay is constant.<br />3. We need to find out how many hours Henry would need to work to make$ 221.

STEP 2

First, we need to find the unit rate, which is the amount Henry makes per hour. We can do this by dividing the total amount he made by the total hours he worked.
$Unit\, rate = \frac{Total\, amount}{Total\, hours}$

STEP 3

Now, plug in the given values for the total amount and total hours to calculate the unit rate.
$Unit\, rate = \frac{\$91}{7\, hours}$

STEP 4

Calculate the unit rate.
$Unit\, rate = \frac{\$91}{7\, hours} = \$13/hour$

STEP 5

Now that we have the unit rate, we can find out how many hours Henry would need to work to make $221. We can do this by dividing the total amount he needs to make by the unit rate.
$Hours\, needed = \frac{Total\, amount}{Unit\, rate}$

STEP 6

Plug in the values for the total amount and the unit rate to calculate the hours needed.
$Hours\, needed = \frac{\$221}{\$13/hour}$

STEP 7

Calculate the hours needed.
$Hours\, needed = \frac{\$221}{\$13/hour} = 17\, hours$
Henry needs to work 17 hours to make $221.

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Find the number of hours Henry must work to earn 221usingaunitrategivenhemade221 using a unit rate given he made 221usingaunitrategivenhemade91 for 7 hours of work.

STEP 1

STEP 2

First, we need to find the unit rate, which is the amount Henry makes per hour. We can do this by dividing the total amount he made by the total hours he worked.Unit rate=Total amountTotal hoursUnit\, rate = \frac{Total\, amount}{Total\, hours}Unitrate=TotalhoursTotalamount​

STEP 3

Now, plug in the given values for the total amount and total hours to calculate the unit rate.Unit rate=$917 hoursUnit\, rate = \frac{\$91}{7\, hours}Unitrate=7hours$91​

STEP 4

Calculate the unit rate.Unit rate=$917 hours=$13/hourUnit\, rate = \frac{\$91}{7\, hours} = \$13/hourUnitrate=7hours$91​=$13/hour

STEP 5

Now that we have the unit rate, we can find out how many hours Henry would need to work to make $221. We can do this by dividing the total amount he needs to make by the unit rate.Hours needed=Total amountUnit rateHours\, needed = \frac{Total\, amount}{Unit\, rate}Hoursneeded=UnitrateTotalamount​

STEP 6

Plug in the values for the total amount and the unit rate to calculate the hours needed.Hours needed=$221$13/hourHours\, needed = \frac{\$221}{\$13/hour}Hoursneeded=$13/hour$221​

STEP 7

Calculate the hours needed.Hours needed=$221$13/hour=17 hoursHours\, needed = \frac{\$221}{\$13/hour} = 17\, hoursHoursneeded=$13/hour$221​=17hoursHenry needs to work 17 hours to make $221.

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Find the number of hours Henry must work to earn $221 using a unit rate given he made$ 91 for 7 hours of work.

First, we need to find the unit rate, which is the amount Henry makes per hour. We can do this by dividing the total amount he made by the total hours he worked.
$Unit\, rate = \frac{Total\, amount}{Total\, hours}$

Now, plug in the given values for the total amount and total hours to calculate the unit rate.
$Unit\, rate = \frac{\$91}{7\, hours}$

Calculate the unit rate.
$Unit\, rate = \frac{\$91}{7\, hours} = \$13/hour$

Now that we have the unit rate, we can find out how many hours Henry would need to work to make $221. We can do this by dividing the total amount he needs to make by the unit rate.
$Hours\, needed = \frac{Total\, amount}{Unit\, rate}$

Plug in the values for the total amount and the unit rate to calculate the hours needed.
$Hours\, needed = \frac{\$221}{\$13/hour}$

Calculate the hours needed.
$Hours\, needed = \frac{\$221}{\$13/hour} = 17\, hours$
Henry needs to work 17 hours to make $221.