Mr. mosey wants to bake a cake for the teachers in his school. he found a recipe that calls for 3/4 cups of cocoa to make an 8 serving cake. however, he needs to make a cake that serves 4 times as many people. he also wants to add a little extra cocoa to make the cake taste better so he wants to add another 3/8 of a cup of cocoa. write a number sentence to him determine the amount of cocoa he needs and then solve to find the amount of cocoa needed.

Mr. Mosey needs 9/2 cups of cocoa to make a 32 serving cake.

Step-by-step explanation:

For an 8 serving cake Mr. Mosey needs 3/4 cups of cocoa plus 3/8 cups of cocoa because he wants it to taste better. Then, for an 8 serving cake he needs:

Cocoa (8 serving cake)=3/4+3/8= 9/8 cups

But, he needs to make a cake that serves 4 times as many people, then he need a 32 serving cake (8*4=32). What we do is to multiply the above formula times 4:

Cocoa (32 serving cake)= 4(3/4+3/8)= 36/8 cups= 9/2 cups

He needs 9/2 cups of cocoa to make a 32 serving cake.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b