Shani has a piece of fabric that is 223 ft. long. She uses 12 ft. for one sewing project and 134 ft. for another project. How much fabric does Shani have left? Solve this multi-step real-world problem. Express your answer in simplest form.(1 point)

Responses

214 ft.
2 Start Fraction 1 over 4 End Fraction ft.

123 ft.
1 Start Fraction 2 over 3 End Fraction ft.

1 ft.
1 ft.

512 ft.

To find out how much fabric Shani has left, we need to subtract the amount of fabric she used for both sewing projects from the total length of the fabric she had.

She used 12 ft. for one sewing project and 134 ft. for another project, for a total of 12 + 134 = 146 ft.

To find the amount of fabric she has left, we subtract 146 ft. from the total length of fabric she had, which is 223 ft.

223 ft - 146 ft = 77 ft.

Therefore, Shani has 77 ft. of fabric left.

Shani has a piece of fabric that is 2 2/3 ft. long. She uses 1/2 ft. for one sewing project and 1 3/4 ft. for another project. How much fabric does Shani have left? Solve this multi-step real-world problem. Express your answer in simplest form.(1 point)

Responses

2 1/4 ft.
2 Start Fraction 1 over 4 End Fraction ft.

1 2/3 ft.
1 Start Fraction 2 over 3 End Fraction ft.

1 ft.
1 ft.

5 1/2 ft.

To find out how much fabric Shani has left, we need to subtract the amount of fabric she used for both sewing projects from the total length of the fabric she had.

She used 1/2 ft. for one sewing project and 1 3/4 ft. for another project, for a total of 1/2 + 1 3/4 = 2 1/4 ft.

To find the amount of fabric she has left, we subtract 2 1/4 ft. from the total length of fabric she had, which is 2 2/3 ft.

To subtract fractions, we need to find a common denominator. In this case, the common denominator is 12.

2 2/3 = 8/3

2 1/4 = 9/4

8/3 - 9/4 = 32/12 - 27/12 = 5/12

Therefore, Shani has 5/12 ft. of fabric left.

The student council at Sugartown Middle School is planning a school dance.

35 of the budget is needed for the DJ, and 14 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

1720 of the budget
Start Fraction 17 over 20 End Fraction of the budget

49 of the budget
Start Fraction 4 over 9 End Fraction of the budget

59 of the budget
Start Fraction 5 over 9 End Fraction of the budget

320 of the budget

To find out how much of the budget is left for decorations and snacks, we need to subtract the portions of the budget used for the DJ and chaperones from the total budget.

The budget used for the DJ is 35% and the budget used for chaperones is 14%.

To find the remaining budget, we subtract the sum of these two percentages from 100%.

100% - 35% - 14% = 100% - 49% = 51%

Therefore, the remaining budget for decorations and snacks is 51% of the total budget.