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)
Responses
5/9 of the budget
3/20 of the budget
17/20 of the budget
4/9 of the budget
To find the part of the budget that is left to pay for decorations and snacks, we need to subtract the amounts allocated for the DJ and the chaperones from the total budget.
First, let's find 3/5 of the budget that is needed for the DJ:
3/5 * 1 = 3/5
Next, let's find 1/4 of the budget that is needed for the chaperones:
1/4 * 1 = 1/4
To find the part of the budget that is left, we can subtract the amounts allocated for the DJ and the chaperones from the total budget of 1:
1 - 3/5 - 1/4
To calculate this, we need a common denominator. The least common multiple of 5 and 4 is 20:
1 - (3/5)(4/4) - (1/4)(5/5)
1 - 12/20 - 5/20
Now, we can subtract the fractions:
1 - 12/20 - 5/20 = (20/20) - (12/20) - (5/20)
= (20 - 12 - 5) / 20
= 3/20
Therefore, the part of the budget that is left to pay for decorations and snacks is 3/20 of the budget.