-8(-4) + y = 37
32 + y = 37
y = 5
when x = -4, y = 5
b. 18
c. 24
d. 48
B. 12.6
C. 14.0
D. 18.0
E. 21.0
Answer: The correct option is (B) 12.6.
Step-by-step explanation: Given that an industrial cleaner is manufactured using only the 3 secret ingredients A, B, and C, which are mixed in the ratio of 2 : 3 : 5 respectively, by weight.
We are to find the number of pounds of the secret ingredient B that are in a 42-pound bucket of this cleaner.
Let the quantities of the ingredients A, B and C in the cleaner be 2x, 3x and 5x respectively.
Then, according to the given information, we have
Therefore, the quantity of the ingredient B is given by
Thus, option (B) is CORRECT.
-y + 12 = 4x
Solve with elimination
If 120g of copper are needed for a certain piece of brass, then the weight of the zinc that will be needed for the same piece is 80 grams.
A ratio expresses the number of times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.
Given that Brass is an alloy made from copper and zinc in the ratio 3:2, based on weight. Therefore, the ratio of the metals can be written as,
Copper / Zinc = 3/2
Now, as the weight of the copper is 120grams. Therefore, the ratio can be written as,
Copper / zinc = 3/2
120 grams / zinc = 3/2
zinc = (120 grams × 2) / 3
zinc = 80 grams
Hence, If 120g of copper are needed for a certain piece of brass, then the weight of the zinc that will be needed for the same piece is 80 grams.
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