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Math

QuestionAt a restaurant, 120 water bottles were in ice; 36 remained. Find the ratios of taken to total and remaining to taken bottles.

Studdy Solution

STEP 1

Assumptions1. The total number of water bottles at the start is120. The number of water bottles remaining at the end is363. The number of water bottles taken is the difference between the total number of water bottles and the number of water bottles remaining

STEP 2

First, we need to find the number of water bottles taken. We can do this by subtracting the number of water bottles remaining from the total number of water bottles.
Number of water bottles taken=Total number of water bottles−Number of water bottles remainingNumber\, of\, water\, bottles\, taken = Total\, number\, of\, water\, bottles - Number\, of\, water\, bottles\, remaining

STEP 3

Now, plug in the given values for the total number of water bottles and the number of water bottles remaining to calculate the number of water bottles taken.
Number of water bottles taken=120−36Number\, of\, water\, bottles\, taken =120 -36

STEP 4

Calculate the number of water bottles taken.
Number of water bottles taken=120−36=84Number\, of\, water\, bottles\, taken =120 -36 =84

STEP 5

Now, we can find the ratio of the number of water bottles taken to the total number of water bottles.
Ratio of taken to total=Number of water bottles takenTotal number of water bottlesRatio\, of\, taken\, to\, total = Number\, of\, water\, bottles\, taken Total\, number\, of\, water\, bottles

STEP 6

Plug in the values for the number of water bottles taken and the total number of water bottles to find the ratio.
Ratio of taken to total=84120Ratio\, of\, taken\, to\, total =84120

STEP 7

Next, we can find the ratio of the number of water bottles remaining to the number of water bottles taken.
Ratio of remaining to taken=Number of water bottles remainingNumber of water bottles takenRatio\, of\, remaining\, to\, taken = Number\, of\, water\, bottles\, remaining Number\, of\, water\, bottles\, taken

STEP 8

Plug in the values for the number of water bottles remaining and the number of water bottles taken to find the ratio.
Ratio of remaining to taken=3684Ratio\, of\, remaining\, to\, taken =3684The ratios are as followsa. The ratio of the number of bottles of water taken to the total number of water bottles is84 to120, or 8412084120 b. The ratio of the number of water bottles remaining to the number of water bottles taken is36 to84, or 36843684

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