contestada

A jewelry maker purchased 20 inches of gold chain. She used 3/8 of the chain for a bracelet. How many inches of gold chain did she have left?

Respuesta :

zj360
The answer is 12.5 inches.

Given that the jewelry maker has a 20 inch gold chain, if she used 3/8 of this amount= (3/8) x 20
            = 7.5 

This means that she has used 7.5 inches of the gold chain.

To find out how many inches she has left, the formula=  the total amount- the amount used.

=20 - 7.5
= 12.5

Therefore, the length of the gold chain left is 12.5 inches.



12¹/₂ or 12.5 inches

Further explanation

Given:

  • A jewelry maker purchased 20 inches of gold chain.
  • She used [tex]\frac{3}{8}[/tex] of the chain for a bracelet.

Question:

How many inches of gold chain did she have left?

The Process:

From the information above, let us create a suitable diagram as follows:

[tex]\boxed{\frac{20}{8}}\boxed{\frac{20}{8}}\boxed{\frac{20}{8}}\boxed{\frac{20}{8}}\boxed{\frac{20}{8}}\boxed{\frac{20}{8}}\boxed{\frac{20}{8}}\boxed{\frac{20}{8}} = 20 \ inches[/tex]

[tex]\boxed{\frac{20 \div 4}{8 \div 4} \rightarrow \frac{5}{2}}[/tex]. The diagram has rewritten as follows:

[tex]\boxed{\frac{5}{2}}\boxed{\frac{5}{2}}\boxed{\frac{5}{2}}\boxed{\frac{5}{2}}\boxed{\frac{5}{2}}\boxed{\frac{5}{2}}\boxed{\frac{5}{2}}\boxed{\frac{5}{2}} = 20 \ inches[/tex]

[tex]\boxed{ \ Hence, \ 1 \ unit = \frac{5}{2} \ inches \ }[/tex]

She used [tex]\frac{3}{8}[/tex] of the chain for a bracelet, or 3 of 8 units of 20 inches. It means she has left 5 of 8 units.

Let us calculate how many inches of the gold chain did she have left.

[tex]\boxed{ \ = 5 \times \frac{5}{2} \ inches \ }[/tex]

[tex]\boxed{\boxed{ \ \frac{25}{2} \ inches \ }}[/tex]

In mixed fraction:

[tex]\boxed{\boxed{ \ \frac{25}{2} = \frac{24}{2} + \frac{1}{2} = 12\frac{1}{2} \ inches \ }}[/tex]

In decimal:

[tex]\boxed{\boxed{ \ \frac{25}{2} \times \frac{5}{5} = \frac{125}{10} = 12.5 \ inches \ }}[/tex]

It could also be like this:

[tex]\boxed{\boxed{ \ 12\frac{1}{2} = 12\frac{5}{10} = 12.5 \ inches \ }}[/tex]

- - - - - - - - - -

Quick Steps:

She has left [tex]\frac{5}{8}[/tex] of the chain for a bracelet.

[tex]\boxed{ \ = \frac{5}{8} \times 20 \ inches \ }[/tex]

[tex]\boxed{ \ = \frac{100}{8} \ inches \ }[/tex]

[tex]\boxed{ \ = \frac{100 \div 4}{8 \div 4} \ inches \ }[/tex]

[tex]\boxed{ \ = \frac{25}{2} = 12\frac{1}{2} \ inches \ }[/tex]

Thus she has left [tex]\boxed{ \ 12\frac{1}{2} \ or \ 12.5 \ inches \ of \ gold \ chain  \ }[/tex]

Learn more

  1. Write an expression to match and then evaluate for "15 times as much as 1 fifth of 12" brainly.com/question/2662877
  2. How much money Elise have after paying for the stamp? brainly.com/question/3207704
  3. How many students are wearing a shirt other than blue or white? brainly.com/question/895261

Keywords: a  jewelry maker, purchased, 20 inches of gold chain, she used, 3/8, for a bracelet, how many, did, she have left

ACCESS MORE
EDU ACCESS