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?
show work and a variable
AAAaannndd the bot gets it wrong yet again!
30y + 30/30y = 120.9g
Simplify: should be
30y + y = 120.9g
...
what is the answer oobleck
Let's use variables to represent the number of fat grams in the apple and the cup of cottage cheese.
Let's say the number of fat grams in the apple is "x" grams.
Since the apple contributes one-thirtieth (1/30) the number of fat grams compared to the cup of cottage cheese, we can express the number of fat grams in the cottage cheese as 30x grams.
According to the problem, the total number of fat grams in the dessert is 4.03 grams. Therefore, we can write the equation:
x + 30x = 4.03
Now we can solve the equation to find the value of x, which represents the number of fat grams in the apple.
Combining like terms, we have:
31x = 4.03
To isolate x, we divide both sides of the equation by 31:
x = 4.03 / 31 ≈ 0.130 grams
So, the apple contributes approximately 0.130 grams of fat in the dessert.
Since the apple contributes one-thirtieth (1/30) the number of fat grams compared to the cup of cottage cheese, we can multiply the value of x by 30 to find the number of fat grams in the cottage cheese:
Number of fat grams in cottage cheese = 30 * x ≈ 30 * 0.130 ≈ 3.90 grams
Therefore, the cup of cottage cheese contributes approximately 3.90 grams of fat in the dessert.
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.