Rachel is 2 times as tall as Kendall. Rich is 3 inches taller than Rachel. Brian is 74 inches tall
and 1 inch shorter than Rich. How tall is Kendall?
Ra = Rachel's tall
Ke = Kendall's tall
Ri = Rich's tall
Br = Brian's tall
Ra = 2 Ke
Ri = Ra + 3
Br = 74 = Ri - 1
74 = Ri - 1 Add 1 to both sides
74 + 1 = Ri - 1 + 1
75 = Ri
Ri = 75 in
Ri = Ra + 3
75 = Ra + 3 Subtract 3 to both sides
75 - 3 = Ra + 3 - 3
72 = Ra
Ra = 72 in
Ra = 2 Ka
72 = 2 Ka Divide both sides by 3
36 = Ka
Ka = 36 in
72 = 2 Ka Divide both sides by 2
Kendall: X in. tall.
Rachel: 2x in. tall.
Rich: (2x+3) in tall.
Brian: (2x+3)-1 = 74 in. tall.
(2x+3)-1 = 74
2x + 2 = 74
2x = 72
X = 36 in. = Kendall's ht.
To find out how tall Kendall is, we need to work backwards from the given information.
We know that Brian is 1 inch shorter than Rich, who is 3 inches taller than Rachel. So, Brian's height is Rich's height minus 1 inch.
Let's calculate Rich's height:
Rich = Brian + 1 inch
Rich = 74 inches + 1 inch = 75 inches
Rachel's height is 3 inches shorter than Rich. So:
Rachel = Rich - 3 inches
Rachel = 75 inches - 3 inches = 72 inches
Given that Rachel is 2 times as tall as Kendall, we can say:
Rachel = 2 * Kendall
Substituting the value of Rachel:
72 inches = 2 * Kendall
Dividing both sides by 2 to solve for Kendall:
Kendall = 72 inches / 2
Kendall = 36 inches
Therefore, Kendall is 36 inches tall.