Question

(Score for Question 2: ___ of 4 points) 2. Leanne is x years old. Franklin is 7 years older than Leanne. Four times Franklin's age is equal to 200. (a) Write an equation that could be used to solve for Leanne's age, x. (b) How old is Leanne? (c) How old is Franklin? Answer:

Answer 1

Explanation:

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Answer 2

(a) the equation that could be used to solve for Leanne's age is 4(7 + x) = 200

(b) Leanne is 43 years old.

(c) Franklin is 50 years old.

Explanation:

(a) Since leanne is x years old

Franklin is 7 years older than leanne. Therefore Franklin is (7 + x) years old

But four times Franklin age is equal to 200.

⇒ 4(7 + x) = 200

(b) To get Leanne age we need to simplify the equation 4(7 + x) = 200.

∴ 4(7 + x) = 200

opening the bracket,

⇒ 28 + 4x = 200

subtracting 28 from both sides

⇒ 4x + 28 - 28 = 200 - 28

⇒ 4x = 172

Dividing through by 4,

`(4x)/(4) = (172)/(4)`

∴ x = 43

Therefore Leanne is 43 years old

(c) Franklin is (x + 7) years old, but x = 43

x + 7 = 43 + 7 = 50

Therefore Franklin is 50 years old.