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Answer:

3 1/8 packages of beads

Step-by-step explanation:

We know that Darnell uses 1 1/4 packages of beads to make 10 bracelets. In order to find how many packages of beads he'll need for 25 bracelets, we set up a proportion:

[tex]\frac{1\frac{1}{4} }{10} =\frac{x}{25}[/tex], where x is the number of packages needed

Cross-multiply:

25 * 1 1/4 = 10x

1 1/4 is just 1.25 in decimal form, so:

25 * 1.25 = 10x

31.25 = 10x

x = 3.125 = 3 1/8

So, Darnell will use 3 1/8 packages of beads.

~ an aesthetics lover

Answer:

We can calculate how many packages he needs to make 5 bracelets and then times that by 5 to see how many he'll need for 25

Step-by-step explanation:

First of all, let's turn 1 1/4 to [tex]\frac{5}{4}[/tex]

Now, if we divide the amount he needs for 10 bracelets by 2, we will have the amount he needs for 5 bracelets:

[tex]\frac{\frac{5}{4}}{2} = \frac{5}{4} * \frac{1}{2} = \frac{5}{8}[/tex]

Now, as 25 divided by 5 is 5, we can multiply our answer by 5 to get the amount needed for 25 bracelets:

[tex]\frac{5}{8} * 5 = \frac{25}{8}[/tex]

Now, we can turn this back into a mixed fraction:

[tex]\frac{25}{8} = 3\frac{1}{8}[/tex]

So the answer is 3 1/8 packages of bread.

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