Respuesta :
If buying 3 beanies babies of same cost costs $d (all money that Jane had), then buying only one such beany baby would save Jane $2d/3
How can we interpret the division?
When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b[/tex]= a divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex] )
Given that:
- Total money Jane had = $d
- 3 beanie babies are of same cost
- Their whole cost is $d (as buying them all makes Jane spend all her money).
To find:
The amount she'd save if she buy only one such beanie baby.
Amount that she'd save = Total amount she could've spent - Total price of one beanie baby
As we know, total amount she could've spent = $d
Also, because of 3 beanie babies cosing equal, and total cost being $d,
the cost of each beanie baby is:
$d divided in 3 equal parts = d/3 dollars
Thus, we get:
Amount that she'd save = Total amount she could've spent - Total price of one beanie baby
Amount that she'd save = [tex]d - \dfrac{d}{3} \: \rm dollars[/tex]
We can write d = 3d/3 since dividing and multiplying a number by same non-zero number doesn't affect that number.
We do so, so that that both terms could get in fraction form with same denominator so that numerators could work directly.
[tex]d - \dfrac{d}{3} = \dfrac{3d}{3} - \dfrac{d}{3} = \dfrac{3d - d}{3} = \dfrac{2d}{3}[/tex]
Thus, if buying 3 beanies babies of same cost costs $d (all money that Jane had), then buying only one such beany baby would save Jane $2d/3
Learn more about division here:
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