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Solving Problems Using Equations

by Bella Gomez
(Hialeah, FL)











































joyce is helping to make wreaths for her womens club to sell at a local bazaar.she will be making the bpws for each wreath. she has 5 yards ,or 60 feet of ribbon to start .she needs 1 2/3 feet of ribbon for each bow.


how many feet of ribbon will joyce have left if she makes 10 bows?

Comments for Solving Problems Using Equations

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Oct 05, 2011
Solving Problems Using Equations
by: Staff


Question:

by Bella Gomez
(Hialeah, FL)


joyce is helping to make wreaths for her womens club to sell at a local bazaar.she will be making the bpws for each wreath. she has 5 yards ,or 60 feet of ribbon to start .she needs 1 2/3 feet of ribbon for each bow.


how many feet of ribbon will joyce have left if she makes 10 bows?




Answer:

You can apply the five steps to organize and solve this problem.


The five steps are:

1. Understand what the problem is asking you to do

2. Identify the information provided (known and unknown information)

3. Write (or rewrite) the known and unknown information using mathematical notation (rather than sentences)

4. Solve the problem

5. Check your answer


Applying these 5 steps to your problem:

1. Understand what the problem is asking you to do

(Read the last sentence in the problem statement.)

How many feet of ribbon will Joyce have left if she makes 10 bows?

2. Identify the information provided (known and unknown information)

Known Information

- Joyce is making wreaths.

- Joyce will be making the bows for each wreath.

- Joyce has 5 yards, or 60 feet of ribbon to start.

- Joyce will use 1 2/3 feet of ribbon for each bow.
.


Unknown Information

- Number of feet of ribbon left over


3. Write (or rewrite) the known and unknown information using mathematical notation (rather than sentences)

n = number of bows = 10

b = ribbon used per bow = 1 2/3 feet

r = total number of feet of ribbon available = 60 feet

x = number of feet of ribbon left over after making bows = unknown


The equation for the number of feet of ribbon left over is:

x = total ribbon available - total ribbon used

x = r - (n * b)



4. Solve for x

x = r - (n * b)


Substitute the known values for the variables

x = 60 - [10 * (1 2/3)]


convert the mixed number 1 2/3 to an improper fraction

x = 60 - [10 * (5/3)]


multiply 10 * (5/3)

x = 60 – [10 * (5/3)]

x = 60 - (50/3)


convert 60 to an improper fraction with a denominator of 3

x = (180/3) - (50/3)


subtract the two fractions

x = (180 - 50)/3

x = (130)/3

x = 130/3


divide 130 by 3

x = 43 r 1

x = 43 1/3 feet


the final answer is:

Number of feet of ribbon left over = 43 1/3 feet



5. Check the answer

Substitute all known values into the original equation:


x = r - (n * b)

43 1/3 = 60 - [10 * (1 2/3)]

43 1/3 = 60 - [10 * (5/3)]

43 1/3 = 60 - (50/3)

43 1/3 = (180/3) - (50/3)

43 1/3 = (180 - 50)/3

43 1/3 = 130/3

43 1/3 = 43 1/3, correct




Thanks for writing.

Staff
www.solving-math-problems.com


Oct 15, 2013
solving problems using equations
by: Anonymous

how many bows has Joyce made if she has 10 feet of ribbon left?

Dec 21, 2013
10 feet of ribbon left over
by: Staff



60 feet of ribbon to start - 10 feet leftover = 50 feet used

(50 feet used) / (1 2/3 feet of ribbon for each bow)

= (50) / (5/3)

= (50) * (3/5)

= (50 * 3) / 5

= 150 / 5

= 30 bows

final answer = 30 bows


Length of ribbon used when 10 ft of ribbon is left over




Calculation of the number of bows made







Thanks for writing.

Staff
www.solving-math-problems.com

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