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.

you have 6 cupcakes

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: