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Math  /  Numbers & Operations

QuestionSolve using tape diagrams.
1. A gardener installed 42.6 meters of fencing in a week. He installed 13.45 meters on Monday and 9.5 meters on Tuesday. He installed the rest of the fence in equal lengths on Wednesday through Friday. How many meters of fencing did he install on each of the last three days?

Studdy Solution

STEP 1

1. Total fencing installed over the week is 42.6 meters.
2. Fencing installed on Monday is 13.45 meters.
3. Fencing installed on Tuesday is 9.5 meters.
4. The remaining fencing was installed equally over Wednesday, Thursday, and Friday.

STEP 2

1. Calculate the total amount of fencing installed on Monday and Tuesday.
2. Subtract the amount installed on Monday and Tuesday from the total amount to find the remaining fencing.
3. Divide the remaining fencing equally among Wednesday, Thursday, and Friday.

STEP 3

Calculate the total amount of fencing installed on Monday and Tuesday.
Monday+Tuesday=13.45 meters+9.5 meters \text{Monday} + \text{Tuesday} = 13.45 \, \text{meters} + 9.5 \, \text{meters}

STEP 4

Perform the addition to find the total fencing installed on Monday and Tuesday.
13.45+9.5=22.95 meters 13.45 + 9.5 = 22.95 \, \text{meters}

STEP 5

Subtract the total fencing installed on Monday and Tuesday from the total fencing installed in the week to find the remaining fencing.
42.6 meters−22.95 meters 42.6 \, \text{meters} - 22.95 \, \text{meters}

STEP 6

Perform the subtraction to find the remaining fencing.
42.6−22.95=19.65 meters 42.6 - 22.95 = 19.65 \, \text{meters}

STEP 7

Divide the remaining fencing equally among Wednesday, Thursday, and Friday.
19.65 meters3 \frac{19.65 \, \text{meters}}{3}

STEP 8

Perform the division to find the amount of fencing installed on each of the last three days.
19.653=6.55 meters \frac{19.65}{3} = 6.55 \, \text{meters}
Solution: The gardener installed 6.55 meters of fencing on each of the last three days (Wednesday, Thursday, and Friday).

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