Answer:
Step-by-step explanation:
If A, B, and C are in the ratio of 2:3:5 and they are each getting some amount of money in that ratio, then to find the total amount of money they split is found in Ax + Bx + Cx and we need to solve for x. What we are told is that the smallest share = 210 and obviously A is the smallest share. Therefore,
2x = 210 and x = 105.
The total sum = 210 + 3(105) + 5(105) so
Total sum = 210 + 315 + 525
Total sum = 1050 and
C's share is 525 and
B's share is 315
Answer:
The length is 8 inches and the width is 3 inches
Step-by-step explanation:
Let w represent the width.
The length can be represented by 2w + 2
Use the area formula, A = lw, and plug in the area and the expressions for the length and width:
A = lw
24 = (2w + 2)(w)
Simplify and solve for w:
24 = 2w² + 2w
2w² + 2w - 24
Divide everything by 2:
w² + w - 12
Factor:
(w + 4)(w - 3)
Set equal to 0 and solve for each factor:
w + 4 = 0
w = -4
w - 3 = 0
w = 3
Since the width cannot be negative, the width has to be 3.
Next, find the length by plugging in 3 as w:
2w + 2
2(3) + 2
= 8
So, the length is 8 inches and the width is 3 inches
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