Beth and Jamal both purchased a new NebulaNote1000 tablet. Jamal bought his tablet at full price for 410.50$, while Beth found a discount code that reduced the price of the tablet to 390.55$. Beth and Jamal both bought extra chargers at full price. Jamal could afford 1 extra charger, while Beth could afford 2 of them. In the end, both friends spent the same amount of money.Which equation can you use to find c, the cost of an extra charger?Choices:(A) 410.50+c=390.55+2c(B) 410.50c+1=390.55c+2How much does an extra charger cost?___ $
Q. Beth and Jamal both purchased a new NebulaNote1000 tablet. Jamal bought his tablet at full price for 410.50$, while Beth found a discount code that reduced the price of the tablet to 390.55$. Beth and Jamal both bought extra chargers at full price. Jamal could afford 1 extra charger, while Beth could afford 2 of them. In the end, both friends spent the same amount of money.Which equation can you use to find c, the cost of an extra charger?Choices:(A) 410.50+c=390.55+2c(B) 410.50c+1=390.55c+2How much does an extra charger cost?___ $
Set up equation: Set up the equation based on the information given.Beth and Jamal spent the same amount of money. Jamal bought the tablet at full price and one extra charger, while Beth bought the tablet at a discounted price and two extra chargers. Let c represent the cost of an extra charger.Jamal's total cost: 410.50+cBeth's total cost: 390.55+2cSince both spent the same amount, we can set these two expressions equal to each other to find the cost of an extra charger.410.50+c=390.55+2c
Solve equation: Solve the equation for c.Subtract c from both sides to get the c terms on one side:410.50+c−c=390.55+2c−c410.50=390.55+cNow, subtract 390.55 from both sides to isolate c:410.50−390.55=390.55+c−390.5519.95=c
Verify solution: Verify the solution.Plug the value of c back into the original equation to ensure it satisfies the condition that both friends spent the same amount of money.410.50+19.95=390.55+2(19.95)430.45=390.55+39.90430.45=430.45Since both sides are equal, the solution c=19.95 is correct.
More problems from Solve linear equations with variables on both sides: word problems