The student council at Sugartown Middle School is planning a school dance.
3/5 of the budget is needed for the DJ, and 1/4 of the budget is needed to pay for the chaperones. What part of the budget is left to pay for decorations and snacks? Express your answer in simplest form.(1 point)
17/20 of the budget
5/9 of the budget
3/20 of the budget
4/9 of the budget
To find the amount left to pay for decorations and snacks, we need to find the amount already spent on the DJ and chaperones and subtract it from the total budget.
The amount spent on the DJ is 3/5 of the budget, and the amount spent on the chaperones is 1/4 of the budget.
So, the total amount spent is 3/5 + 1/4 of the budget.
To combine these fractions, we need to find a common denominator. The denominators 5 and 4 have a common multiple of 20.
Converting the fractions to have a denominator of 20:
3/5 = (3/5) * (4/4) = 12/20
1/4 = (1/4) * (5/5) = 5/20
Adding the fractions together:
12/20 + 5/20 = 17/20
Therefore, the amount spent on the DJ and chaperones is 17/20 of the budget.
To find the amount left to pay for decorations and snacks, we subtract the amount spent (17/20) from the total budget (1 whole or 20/20).
20/20 - 17/20 = 3/20
So, the answer is 3/20 of the budget.