An apple in a dessert contributes one-thirtieth the number of fat grams that the cup of cottage cheese contributes. If the total number of fat grams in the dessert is 4.03g, how many fat grams are in the apple and how many are in the cup of cottage cheese?

Question

show work and a variable

Answer 1

Let x = the number of fat grams in the apple
Let y = the number of fat grams in the cup of cottage cheese

x + y = 4.03g
x = 1/30y

Substitute 1/30y for x in the equation:

1/30y + y = 4.03g

Simplify:

y + 30/30y = 4.03g

Multiply both sides by 30:

30y + 30/30y = 120.9g

Simplify:

30y + 1 = 120.9g

Subtract 1 from both sides:

30y = 119.9g

Divide both sides by 30:

y = 3.997g

Substitute 3.997g for y in the equation x = 1/30y:

x = 1/30(3.997g)

Simplify:

x = 0.133g

Therefore, the apple contributes 0.133g of fat and the cup of cottage cheese contributes 3.997g of fat.

Answer 2

AAAaannndd the bot gets it wrong yet again!

30y + 30/30y = 120.9g
Simplify: should be
30y + y = 120.9g
...

Answer 3

what is the answer oobleck