8. A cookie recipe calls for of a cup of flour and makes 2 dozen cookies.a. If you plan to make 8 dozen cookies, how many cups of flour do you need?- b. How many cookies can you make if you have 10 cups of flour and want to use it all?
Accepted Solution
A:
Answer:a. Number of flour cups needed = 4 cupsb. Number of cookies that can be baked = 240 cookiesExplanation:We are given that:1 cup of flour is needed to make 2 dozen cookiesTo solve the two parts of this question, we will simply use cross multiplicationPart a:1 cup of flour .......................> 2 dozen cookiesx cups of flour ....................> 8 dozen cookies[tex]x = \frac{8*1}{2} = 4[/tex] cupsTherefore, 4 cups of flour are required to make 8 dozen cookiesPart b:1 cup of flour .................> 2 dozen cookies10 cups of flour ............> y dozens of cookies[tex]y=\frac{10*2}{1} = 20[/tex] dozens of cookiesThis means that, 10 cups of flour can make 20 dozen cookiesHowever, here we are asked about the number of cookies, not the number of dozensWe know that 1 dozen contains 12 partsThis means that:1 dozen cookies = 12 cookiesTherefore:20 dozens cookies = 20 × 12 = 240 cookiesHope this helps :)