Question

For $8$ days Jackie made beaded bracelets. When he was done, he had $96\;$ bracelets. How many bracelets did Jackie make each day?

Answer 1

Hint: For this type of word problem, we use the unitary method to solve it. Here we must analyze that for $8\;$ days Jackie made $96\;$ bracelets. Then how many bracelets did he make per day or each day? So here we perform cross-multiplication as used in the unitary method and then we simplify the expression to get the number of bracelets Jackie made per day.

Complete step by step solution:
Given that, Jackie made $96\;$ bracelets for $8$ days.
We must find how many bracelets Jackie makes per day.
Here we shall put it more understandably.
Jackie in the span of $8$days made $96\;$ bracelets.
Then per $1$ day how many bracelets has he made?
Which can be written in unitary method form as,
$8$ days -- $96\;$bracelets.
$1$ day -- $?\;$bracelets.
Here we perform cross multiplication to find out how many Bracelets have been made by Jackie per day.
On Cross multiplying we get,
$\Rightarrow \dfrac{96\times 1}{8}$
Now write the numerator in factors of the denominator for easy simplification.
On further simplifying we get,
$\Rightarrow \dfrac{8\times 12\times 1}{8}$
$\Rightarrow 12$

Therefore, given that for $8$ days Jackie made $96\;$ bracelets. Then per day Jackie made $12\;$ bracelets.

Note: Here in our question, we have used the unitary method. While writing our values from the question in a unitary form, for simplification, always write the things to be calculated on the right-hand side and things known on the left-hand side. We can also use the ratio and proportion method to solve this question. Never forget to write the units of the quantity after the whole evaluation of the question. Units are what defines a quantity.