1. Students have bought pizzas for a pizza party. Judy ate 1 3/5 of the pizzas. Tim ate 1 2/8 of the pizzas. Jacob ate 1 2/4 of the pizzas. Erin ate 2 1/5 of the pizzas. Students are going to share the cost of the pizzas. If they have eaten 1/5 of the pizza, they need to pay for 1/5 of the price of the pizza. If each pizza cost five dollars, how much does Erin need to pay?
First, we need to find out how many pizzas were eaten in total.
1 3/5 + 1 2/8 + 1 2/4 + 2 1/5 = 1 3/5 + 1 1/4 + 1 1/2 + 2 1/5
= 8/5 + 5/4 + 3/2 + 11/5
= 80/40 + 50/40 + 60/40 + 88/40
= 278/40
= 6 38/40
= 6 19/20 pizzas were eaten in total
They need to pay for 1/5 of the total cost, which is 1/5 * 6 pizzas = 6/5 = 1 1/5 pizzas.
Since each pizza costs $5, Erin needs to pay 1 1/5 * $5 = $6.