The sum of three numbers is 855. One of the numbers, x, is 50% more than the sum of the other two numbers. What is the value of
1 answer:
Answer:
The value of x = 513
Step-by-step explanation:
Let x, y, and z be the three numbers
Given
Assuming x be the number which is 50% more than the sum of the other two numbers.
i.e.
(150)% of (y+z) = 1.5(y+z)
y + z = x/1.5
As we know that
substituting y + z = x / 1.5 in the equation
Multiply both sides by 1.5
Divide both sides by 2.5
Therefore, the value of x = 513
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Answer:
9% fund: $ 210,000
13% fund: $70,000
Step-by-step explanation:
As she wants to have a $28,000 annual return for her $280,000 investment, she is expecting a return rate of 10%:
If we call x the proportion of the capital in the 9% fund, then (1-x) is the proportion of the capital in the 13% fund,and the return of the combination has to be the expected return of 10%:
Then, we know that 75% of the capital should be invested in the 9% fund and 25% in the 13% fund.
This correspond to a capital of:
9% fund: 0.75*$280,000 = $ 210,000
13% fund: 0.25*$280,000 = $70,000
Answer:
11 2/3 pounds
Step-by-step explanation:
If a pack contain 1 2/3 pounds, 7 packs would contain :
1 2/3 x 7
× 7 = 35/3 = 11 2/3 pounds