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