Question

Dawn and Emily each had the same length of ribbon. Both girls used their ribbons to make identical bows. Dawn made 12 bows and had 128 cm of ribbon left. Emily made 9 bows and had 176 cm of ribbon left. How many bows could Emily make with the ribbon she had left?

Answer 1

Let b = the length of ribbon both people originally had.

Let c = the length of ribbon it takes them to make one bow


Then, the question statest that:
b = 12 * c + 128
and
b = 9 * c + 176

Let's substitute b from the first equation into the second equation (system of equations). Then, we get:

12 * c + 128 = 9 * c + 176
3 * c + 128 = 176 <- Subtract 9*c both side
3 * c = 48 <- Subtrac 128 from both sides
c = 16 <- Divide both sides by 3

So this means that it takes 16 cm of ribbon to create one bow. Since Emily has 176 cm of ribbon left, she can create:

176/3 (rounded down) more bows.

Answer 2

Each had L cm of ribbon.

Dawn: (L-128)cm/12Bows = cm/Bow.

Emily: (L-176)cm/9Bows = cm/Bow.

Since the bows were equal, each used the same cm/bow:
(L-128)/12 = (L-176)/9.
L = 320 cm of ribbon for each girl.

Emily: (320-176)/9 = 16cm/Bow.

176cm/(16cm/bow) = 11 Bows she can make with ribbon left.

Answer 3

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Answer 4

Dawn and Emily each had the same length of ribbon.Both girls used their ribbons to make identical bows.Dawn made 12 bows and had 128 cm of ribbon left .Emily made 9 bows and had 176 cm of ribbon left.How many bows could Emily make with the ribbon she had left?

Answer 5

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Answer 6

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