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QuestionA student has 174 cm of ribbon. Each bow needs 20 cm. How many bows can be made and how much ribbon is left?

Studdy Solution

STEP 1

Assumptions1. The total length of ribbon available is174 centimeters. Each bow requires20 centimeters of ribbon3. The student wants to make as many bows as possible4. Any remaining ribbon that is less than20 centimeters cannot be used to make a bow

STEP 2

First, we need to find out how many bows the student can make. We can do this by dividing the total length of ribbon by the length of ribbon required for each bow.
Number of bows=Total ribbon length/Ribbon length per bowNumber\, of\, bows = Total\, ribbon\, length / Ribbon\, length\, per\, bow

STEP 3

Now, plug in the given values for the total ribbon length and the ribbon length per bow to calculate the number of bows.
Number of bows=174 cm/20 cmNumber\, of\, bows =174\, cm /20\, cm

STEP 4

Calculate the number of bows the student can make. Since we cannot have a fraction of a bow, we need to round down to the nearest whole number.
Number of bows=⌊174 cm/20 cm⌋=8 bowsNumber\, of\, bows = \lfloor174\, cm /20\, cm \rfloor =8\, bows

STEP 5

Next, we need to find out how much ribbon will be left over. We can do this by subtracting the total length of ribbon used for the bows from the total length of ribbon available.
Leftover ribbon=Total ribbon length−(Number of bowstimesRibbon length per bow)Leftover\, ribbon = Total\, ribbon\, length - (Number\, of\, bows \\times Ribbon\, length\, per\, bow)

STEP 6

Plug in the values for the total ribbon length, the number of bows, and the ribbon length per bow to calculate the leftover ribbon.
Leftover ribbon=174 cm−(8 bowstimes20 cm per bow)Leftover\, ribbon =174\, cm - (8\, bows \\times20\, cm\, per\, bow)

STEP 7

Calculate the length of the leftover ribbon.
Leftover ribbon=174 cm−( bowstimes20 cm per bow)=14 cmLeftover\, ribbon =174\, cm - (\, bows \\times20\, cm\, per\, bow) =14\, cmThe student can make bows and will have14 centimeters of ribbon left over.

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