Answer:
(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.
Step-by-step 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,
[tex]\frac{4x}{4} = \frac{172}{4}[/tex]
∴ 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.
