----------------------------------------- Define x : ----------------------------------------- Let x be the number of 5 cents she has. 5 cents = x 10 cents = 2x
----------------------------------------- Find value in term of x : ----------------------------------------- 5 cents = $0.05x 10 cents = 0.10(2x) = 0.2x
----------------------------------------- Construct Equation : ----------------------------------------- The total amount is $3.50 ⇒ 0.05x + 0.2x = 3.50
----------------------------------------- Solve x : ----------------------------------------- 0.05x + 0.2x = 3.50 0.25x = 3.5 x = 14
----------------------------------------- Find the number of coins : ----------------------------------------- 5 cents = x = 14 10 cents = 2x = 2(14) = 28
----------------------------------------- Answer: She has 14 5-cents. -----------------------------------------