Solving proportions using cross products
½ = x /18
To solve the proportion 1/2 = x/18, we can use the cross product method.
First, we multiply the numerator of the first ratio (1) by the denominator of the second ratio (18):
1 * 18 = 18
Next, we multiply the denominator of the first ratio (2) by the numerator of the second ratio (x):
2 * x = 2x
Since the cross products are equal, we can set up an equation:
18 = 2x
Simplifying the equation, we divide both sides by 2:
18/2 = 2x/2
9 = x
Therefore, the value of x is 9.
Solving proportions using cross products
32/12 = 64/k
To solve the proportion 32/12 = 64/k, we can use the cross product method.
First, we multiply the numerator of the first ratio (32) by the denominator of the second ratio (k):
32 * k = 32k
Next, we multiply the denominator of the first ratio (12) by the numerator of the second ratio (64):
12 * 64 = 768
Since the cross products are equal, we can set up an equation:
32k = 768
To solve for k, we divide both sides of the equation by 32:
32k / 32 = 768 / 32
k = 24
Therefore, the value of k is 24.
If 3 pounds of apples cost $0.90, what is the cost of 5 pounds of apples at the same rate?
To solve this problem, we can set up a proportion to find the cost of 5 pounds of apples.
Let the cost of 5 pounds of apples be represented by x.
We can set up the proportion: 3 pounds / $0.90 = 5 pounds / x
To solve for x, we can use cross products.
(3 pounds)(x) = (5 pounds)($0.90)
3x = 5(0.90)
3x = 4.50
To isolate x, we divide both sides of the equation by 3:
x = 4.50 / 3
x = 1.50
Therefore, the cost of 5 pounds of apples at the same rate is $1.50.