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QuestionMrs. Hernandez delivers mail for 41.25 min. After 10 min for 5 houses, how to find remaining houses with 1.251.25 min each?

Studdy Solution

STEP 1

Assumptions1. The total time spent by Mrs. Hernandez is41.25 minutes. The time taken to deliver mail to the first five houses is10 minutes3. The time taken to deliver mail to each of the remaining houses is1.25 minutes

STEP 2

First, we need to find out how much time Mrs. Hernandez spent delivering mail to the remaining houses. We can do this by subtracting the time she spent on the first five houses from the total time.
Time for remaining houses=Total time−Time for first 5 housesTime\, for\, remaining\, houses = Total\, time - Time\, for\, first\,5\, houses

STEP 3

Now, plug in the given values for the total time and the time for the first five houses to calculate the time for the remaining houses.
Time for remaining houses=41.25 minutes−10 minutesTime\, for\, remaining\, houses =41.25\, minutes -10\, minutes

STEP 4

Calculate the time spent on the remaining houses.
Time for remaining houses=41.25 minutes−10 minutes=31.25 minutesTime\, for\, remaining\, houses =41.25\, minutes -10\, minutes =31.25\, minutes

STEP 5

Now that we have the time spent on the remaining houses, we can find out how many remaining houses there are. We can do this by dividing the time spent on the remaining houses by the time it takes to deliver to each house.
Number of remaining houses=Time for remaining houses/Time per houseNumber\, of\, remaining\, houses = Time\, for\, remaining\, houses / Time\, per\, house

STEP 6

Plug in the values for the time for the remaining houses and the time per house to calculate the number of remaining houses.
Number of remaining houses=31.25 minutes/1.25 minutes/houseNumber\, of\, remaining\, houses =31.25\, minutes /1.25\, minutes/house

STEP 7

Calculate the number of remaining houses.
Number of remaining houses=31.25 minutes/1.25 minutes/house=25 housesNumber\, of\, remaining\, houses =31.25\, minutes /1.25\, minutes/house =25\, houses

STEP 8

Now that we have the number of remaining houses, we can find out the total number of houses. We can do this by adding the first five houses to the number of remaining houses.
Total number of houses=Number of first 5 houses+Number of remaining housesTotal\, number\, of\, houses = Number\, of\, first\,5\, houses + Number\, of\, remaining\, houses

STEP 9

Plug in the values for the number of first five houses and the number of remaining houses to calculate the total number of houses.
Total number of houses=5 houses+25 housesTotal\, number\, of\, houses =5\, houses +25\, houses

STEP 10

Calculate the total number of houses.
Total number of houses=5 houses+25 houses=30 housesTotal\, number\, of\, houses =5\, houses +25\, houses =30\, housesThe equation that can be used to determine how many houses still need their mail deliveries isTotal time=Time for first 5 houses+(Time per housetimesNumber of remaining houses)Total\, time = Time\, for\, first\,5\, houses + (Time\, per\, house \\times Number\, of\, remaining\, houses)Or in terms of the given problem41.25=10+.25x41.25 =10 +.25xWhere x is the number of remaining houses.

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