Solved on Dec 31, 2023

Jared drove 205 miles this month, which is 75% less than last month. How much did he drive last month?

STEP 1

Assumptions
1. Jared drove 205 miles this month.
2. This month's mileage is 75% less than last month's mileage.
3. We need to find the mileage for last month.

STEP 2

Let's denote last month's mileage as $M$ . This month's mileage is 75% less than last month's, which means Jared drove 25% of last month's mileage this month.

STEP 3

Express this month's mileage as 25% of last month's mileage.
$205 = \frac{25}{100} \times M$

STEP 4

To find last month's mileage $M$ , we need to solve for $M$ in the equation.
$M = \frac{205}{\frac{25}{100}}$

STEP 5

Simplify the fraction and solve for $M$ .
$M = \frac{205 \times 100}{25}$

STEP 6

Divide 205 by 25 and then multiply by 100 to find $M$ .
$M = \frac{205}{25} \times 100$

STEP 7

Calculate the division.
$M = 8.2 \times 100$

STEP 8

Multiply by 100 to find the total mileage driven last month.
$M = 8.2 \times 100 = 820$
Jared drove 820 miles last month.

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Jared drove 205 miles this month, which is 75% less than last month. How much did he drive last month?

STEP 1

Assumptions
1. Jared drove 205 miles this month.
2. This month's mileage is 75% less than last month's mileage.
3. We need to find the mileage for last month.

STEP 2

Let's denote last month's mileage as $M$ . This month's mileage is 75% less than last month's, which means Jared drove 25% of last month's mileage this month.

STEP 3

Express this month's mileage as 25% of last month's mileage.
$205 = \frac{25}{100} \times M$

STEP 4

To find last month's mileage $M$ , we need to solve for $M$ in the equation.
$M = \frac{205}{\frac{25}{100}}$

STEP 5

Simplify the fraction and solve for $M$ .
$M = \frac{205 \times 100}{25}$

STEP 6

Divide 205 by 25 and then multiply by 100 to find $M$ .
$M = \frac{205}{25} \times 100$

STEP 7

Calculate the division.
$M = 8.2 \times 100$

STEP 8

Multiply by 100 to find the total mileage driven last month.
$M = 8.2 \times 100 = 820$
Jared drove 820 miles last month.

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Jared drove 205 miles this month, which is 75% less than last month. How much did he drive last month?

STEP 1

Assumptions1. Jared drove 205 miles this month.2. This month's mileage is 75% less than last month's mileage.3. We need to find the mileage for last month.

STEP 2

Let's denote last month's mileage as MMM. This month's mileage is 75% less than last month's, which means Jared drove 25% of last month's mileage this month.

STEP 3

Express this month's mileage as 25% of last month's mileage.205=25100×M205 = \frac{25}{100} \times M205=10025​×M

STEP 4

To find last month's mileage MMM, we need to solve for MMM in the equation.M=20525100M = \frac{205}{\frac{25}{100}}M=10025​205​

STEP 5

Simplify the fraction and solve for MMM.M=205×10025M = \frac{205 \times 100}{25}M=25205×100​

STEP 6

Divide 205 by 25 and then multiply by 100 to find MMM.M=20525×100M = \frac{205}{25} \times 100M=25205​×100

STEP 7

Calculate the division.M=8.2×100M = 8.2 \times 100M=8.2×100

STEP 8

Multiply by 100 to find the total mileage driven last month.M=8.2×100=820M = 8.2 \times 100 = 820M=8.2×100=820Jared drove 820 miles last month.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions
1. Jared drove 205 miles this month.
2. This month's mileage is 75% less than last month's mileage.
3. We need to find the mileage for last month.

Let's denote last month's mileage as $M$ . This month's mileage is 75% less than last month's, which means Jared drove 25% of last month's mileage this month.

Express this month's mileage as 25% of last month's mileage.
$205 = \frac{25}{100} \times M$

To find last month's mileage $M$ , we need to solve for $M$ in the equation.
$M = \frac{205}{\frac{25}{100}}$

Simplify the fraction and solve for $M$ .
$M = \frac{205 \times 100}{25}$

Divide 205 by 25 and then multiply by 100 to find $M$ .
$M = \frac{205}{25} \times 100$

Calculate the division.
$M = 8.2 \times 100$

Multiply by 100 to find the total mileage driven last month.
$M = 8.2 \times 100 = 820$
Jared drove 820 miles last month.