QuestionA recipe needs 5 grams of butter for 12 cookies. How many decigrams for 60 cookies?

Studdy Solution

STEP 1

Assumptions1. The recipe calls for5 grams of butter to make12 cookies. . We want to find out the amount of butter in decigrams for60 cookies. 3.1 gram is equal to10 decigrams.

STEP 2

First, we need to find out how many grams of butter are needed for one cookie. We can do this by dividing the total amount of butter by the number of cookies.
$Grams\, per\, cookie = Total\, grams / Number\, of\, cookies$

STEP 3

Now, plug in the given values for the total grams and number of cookies to calculate the grams per cookie.
$Grams\, per\, cookie =5\, grams /12\, cookies$

STEP 4

Calculate the grams per cookie.
$Grams\, per\, cookie =\, grams /12\, cookies =0.4167\, grams/cookie$

STEP 5

Now that we have the grams per cookie, we can find out how many grams are needed for60 cookies. We can do this by multiplying the grams per cookie by the number of cookies.
$Total\, grams = Grams\, per\, cookie \\times Number\, of\, cookies$

STEP 6

Plug in the values for the grams per cookie and the number of cookies to calculate the total grams.
$Total\, grams =0.416\, grams/cookie \\times60\, cookies$

STEP 7

Calculate the total grams.
$Total\, grams =0.4167\, grams/cookie \\times60\, cookies =25\, grams$

STEP 8

Now that we have the total grams, we can convert this to decigrams. We can do this by multiplying the total grams by the conversion factor (10 decigrams/gram).
$Total\, decigrams = Total\, grams \\times Conversion\, factor$

STEP 9

Plug in the values for the total grams and the conversion factor to calculate the total decigrams.
$Total\, decigrams =25\, grams \\times\, decigrams/gram$

STEP 10

Calculate the total decigrams.
$Total\, decigrams =25\, grams \\times10\, decigrams/gram =250\, decigrams$ There will be250 decigrams of butter in60 cookies.

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