Julie cashed a paycheck and repaired her brother $10 that she borrowed from him. She then spent $30 on fuel for her car and half
of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. how much did Julie receive when she cashed her paycheck.
Remark She starts out with x She spends 10 dollars paying back her brother (that's - 10) She spends 30 dollars on fuel (that - 30) She spends 1/2 what's left on a tent ( that's 1/2 (x - 10 - 30) ) She then spent 29.45 on running shoes. 1/2 (x - 10 - 30) + 29.45 is her expenditures.
Solve Begin by adding 29.95 to both sides. x - 10 - 30 - 1/2(x - 10 - 30) = 17.75 + 29.45 x -10 - 30 - 1/2(x - 10 - 30) = 47.20 Add the like terms on the left. x - 40 - 1/2(x - 40) = 47.20 Add 40 to both sides. Don't go inside the brackets. x - 1/2x + 1/2 (40) = 87.20 1/2 x + 20 = 87.20 Subtract 20 from both sides. 1/2 x = 67.20 Multiply by 2 x = 134.40
