The amount invested at 4% is $4,200. This problem can be solved by using two linear equation with two different variables which represent the investment's partition and the investment's return. The first equation is x+y=$7,600 and the second equation is 0.04x + 0.05y=$338, then you must substitute the y variable in the second question with the first equation (0.04x + 0.05($7,600-x)=$338). Therefore, you will get a new equation to solve the problem which is 0.04x+380-0.05x=338 resulting x=$4,200.
The combination can be
- 20 Blueberry, 24 chocolate, 16 strawberry
- 10 Blueberry, 12 chocolate, 8 strawberry
- 5 Blueberry, 6 chocolate, 4 strawberry
<h3>What is factor?</h3>
A factor is a number that is multiplied by another number to produce the desired result. The answer to a multiplication puzzle is a product. Imagine multiplying the factors in a multiplication problem to get the answer. For instance, the factors 2 and 4 add up to 8: Just two factors or a great many factors can affect a number.
Total Number of Factors for N = (a+1) (b+1) (c+1) is the formula for the total number of factors for a given number.
given:
Type Number of muffins
blueberry 40
Chocolate 48
Strawberry 32
So, muffins need to be divided equally into separate gift baskets with the same number of each type of muffins in each basket.
The possible condition can be
2 gift basket
20 Blueberry, 24 chocolate, 16 strawberry
4 gift basket
10 Blueberry, 12 chocolate, 8 strawberry
6 gift basket
5 Blueberry, 6 chocolate, 4 strawberry
Learn more about factor here:
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Answer:
33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution
Step-by-step explanation:
Set up two equations...
Let x represent the number of Liters of the 40% solution
Let y represent the number of Liters of the 25% solution
We need 50 liters total, so
x + y = 50
and we need the 50 L to be 35% solution, so
0.4x = 0.25y = 0.35(50)
Solve the first equation for one variable...
x = 50 - y (subtract y from both sides in equation 1)
Now substitute that value into the second equation...
0.4(50 - y) + 0.25y = 17.5 (x becomes 50 - y, 0.35(50) = 17.5)
Now solve for y...
20 - 0.4y + 0.25y = 17.5
-0.15y = -2.5
y = 16.66666667
y = 16 2/3 L
So we need to plug that into the first equation to find 'x'
x + 16 2/3 = 50
x = 50 - 16 2/3
x = 33 1/3
Answer:
45
Step-by-step explanation:
