A spool of ribbon holds 6.75 meters. A craft club buys 21 spools. What is the total cost of the ribbon sells for $2 per meter. If the club uses 76.54 meters to complete a project,how much ribbon will be left

Respuesta :

Step 1

Find the total meters of ribbon

we know that

One spool of ribbon holds [tex]6.75[/tex] meters

so

by proportion

find the amount of meters of [tex]21[/tex] spools

[tex]\frac{6.75}{1} \frac{m}{spool} =\frac{x}{21} \frac{m}{spools} \\ \\x=6.75*21 \\ \\x=141.75\ meters[/tex]    

the total meters of ribbon is [tex]141.75\ meters[/tex]

Step 2

Find the total cost of the ribbon

Multiply   [tex]2\frac{\$}{m}[/tex] by the total meters of ribbon

[tex]2\frac{\$}{m}*141.75\ m=\$283.50[/tex]

therefore

the answer is

The total cost of the ribbon is [tex]\$283.50[/tex]

Step 3

Find how much ribbon will be left

we know that

the club uses [tex]76.54[/tex] meters to complete a project  

so

Subtract [tex]76.54[/tex] meters from the total meters of ribbon

the total meters of ribbon is [tex]141.75\ meters[/tex] -----> see Step 1

[tex]141.75\ m-76.54\ m=65.21\ m[/tex]

therefore

the answer is

The ribbon that will be left is [tex]65.21\ m[/tex]

The total cost of the ribbons bought by the craft club is  $283,5. After the project there will be 114 meters of ribbon left

Further explanation

Given:

1 spool of ribbon = 6.75 m

A craft club buys 21 spools

Cost of ribbon = $2

The club uses 76.54 meters to complete a project.

Question:

How much ribbon will be left?

Step-by-step explanation:

First step, with the information given, we will calculate how many meters of ribbon bought by the craft club[tex]\boxed {21 spools \times\ 6.75 m\ }\\ \boxed {= 141.75 m\ }[/tex]

to find out how much the total cost, we are going to multiply the total length of the ribbon bought with the price per meter.

Total cost = length of the ribbon bought x Price/meter

                 [tex]\boxed {= 141.75  \times\ 2 }\\\boxed {=283.5\ }[/tex]

Here how to multiply the decimal numbers. We don't need to line up the decimal place. Multiplying decimal numbers is the same way as the whole number multiplication but don't forget to put the decimal point in the answer.

 6.75                      ⇒  2 decimal place

     21       x             ⇒  no decimal place

   675

1350  

141.75                     ⇒  2 decimal place

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Keywords: mileage, multiplication for decimal numbers, two digits numbers multiplication, additional, substracting.