Math  /  Numbers & Operations

Question7. Kathy runs 3.253.25 miles every Monday, 2.752.75 miles every Wednesday, and 3.53.5 miles every Friday. Last month she ran 5.55.5 miles and 6.256.25 miles on two Saturdays. How many miles did she run last month if there were 44 Mondays, 55 Wednesdays, and 55 Fridays?

Studdy Solution

STEP 1

1. Kathy runs 3.253.25 miles every Monday, 2.752.75 miles every Wednesday, and 3.53.5 miles every Friday.
2. Last month, she ran additional distances of 5.55.5 miles and 6.256.25 miles on two Saturdays.
3. There were 44 Mondays, 55 Wednesdays, and 55 Fridays last month.

STEP 2

1. Calculate the total miles run on Mondays.
2. Calculate the total miles run on Wednesdays.
3. Calculate the total miles run on Fridays.
4. Calculate the total miles run on Saturdays.
5. Sum all the miles to find the total distance run last month.

STEP 3

Calculate the total miles run on Mondays:
Miles on Mondays=3.25 miles×4 Mondays \text{Miles on Mondays} = 3.25 \text{ miles} \times 4 \text{ Mondays}
Miles on Mondays=13 miles \text{Miles on Mondays} = 13 \text{ miles}

STEP 4

Calculate the total miles run on Wednesdays:
Miles on Wednesdays=2.75 miles×5 Wednesdays \text{Miles on Wednesdays} = 2.75 \text{ miles} \times 5 \text{ Wednesdays}
Miles on Wednesdays=13.75 miles \text{Miles on Wednesdays} = 13.75 \text{ miles}

STEP 5

Calculate the total miles run on Fridays:
Miles on Fridays=3.5 miles×5 Fridays \text{Miles on Fridays} = 3.5 \text{ miles} \times 5 \text{ Fridays}
Miles on Fridays=17.5 miles \text{Miles on Fridays} = 17.5 \text{ miles}

STEP 6

Calculate the total miles run on Saturdays:
Miles on Saturdays=5.5 miles+6.25 miles \text{Miles on Saturdays} = 5.5 \text{ miles} + 6.25 \text{ miles}
Miles on Saturdays=11.75 miles \text{Miles on Saturdays} = 11.75 \text{ miles}

STEP 7

Sum all the miles to find the total distance run last month:
Total miles=13 miles+13.75 miles+17.5 miles+11.75 miles\text{Total miles} = 13 \text{ miles} + 13.75 \text{ miles} + 17.5 \text{ miles} + 11.75 \text{ miles}
Total miles=56 miles\text{Total miles} = 56 \text{ miles}
The total number of miles Kathy ran last month is:
56 miles\boxed{56 \text{ miles}}

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