Jen spends half his money on lunch and then spends $1.50 for a magazine. He uses one third of what he has left to pay for the bus ride home, then gives his little brother a quarter.If Jen has three nickles and two quarters left, how much money did he have before lunch?
Let x = original money
.5x - 1.50 - (.5x-1.50)/3 -.25 = .35
Solve for x.
To find out how much money Jen had before lunch, we can work backwards from the information given.
First, let's calculate the total value of the nickels and quarters he has left. Jen has three nickels, which have a value of 5 cents each, so his nickels have a total value of 3 * 5 = 15 cents. He also has two quarters, which have a value of 25 cents each, so his quarters have a total value of 2 * 25 = 50 cents.
Adding the values of the nickels and quarters, Jen has a total of 15 + 50 = 65 cents left.
Next, we know that after lunch, Jen spent $1.50 on a magazine. So, if we add the cost of the magazine to the amount he has left, we can find out how much he had before paying for the magazine.
Jen had 65 cents left and spent $1.50, so before buying the magazine, he had 65 + 150 = 215 cents or $2.15.
However, we need to convert this amount to dollars and cents format. Since there are 100 cents in a dollar, we can divide 215 by 100 to get the dollar amount and find out that Jen had $2 and 15 cents before lunch.
Therefore, Jen had $2.15 before lunch.