Question

Charles had m yards of material. He used 0.4m yards of material to make a costume, 0.2m yards to make pillows and 0.3m yards to make a bag. Which expression shows how many yards of fabric Charles has left? Check all that apply.

(A) 0.1m


(B) 0.9m


(C) m – 0.9m


(D) (0.4 + 0.2 + 0.3)m


(E) (1 – 0.4 – 0.2 – 0.3)m


(F) m – (0.4 + 0.2 + 0.3)m


(G) m – 0.4m – 0.2m – 0.3m


(H) m – (0.4m + 0.2m + 0.3m) check all that apply

Answer 1

• (A)
  `0.1m`

• (C)
  `m - 0.9m`

• (E)
  `(1 - 0.4 - 0.2 - 0.3)m`

• (F)
  `m - (0.4 + 0.2 + 0.3)m`

• (G)
  `m - 0.4m - 0.2m - 0.3m`

• (H)
  `m - (0.4m + 0.2m + 0.3m)`

Explanation:

To determine how many yards of fabric Charles has left, we need to subtract the total amount of fabric used for the costume, pillows, and bag from the initial amount of fabric (m yards). The total amount of fabric used is:

• 
  `0.4m + 0.2m + 0.3m = 0.9m.`

Now, we can subtract the total used fabric from the initial amount of fabric:

• 
  `m - 0.9m`

The correct expressions that show how many yards of fabric Charles has left are:

• (A)
  `0.1m`

• (C)
  `m - 0.9m`

• (E)
  `(1 - 0.4 - 0.2 - 0.3)m`

• (F)
  `m - (0.4 + 0.2 + 0.3)m`

• (G)
  `m - 0.4m - 0.2m - 0.3m`

• (H)
  `m - (0.4m + 0.2m + 0.3m)`

Why are the options correct/incorrect?

• (A) 0.1m: This option is correct because it represents the amount of fabric Charles has left after using 0.9m of fabric.

• (B) 0.9m: This option is incorrect because it represents the amount of fabric Charles used, not the amount he has left.

• (C) m - 0.9m: This option is correct because it represents the initial amount of fabric (m) minus the total amount of fabric used for the costume, pillows, and bag (0.9m), which gives the remaining amount of fabric.

• (D) (0.4 + 0.2 + 0.3)m: This option is incorrect because it represents the total amount of fabric Charles used to make the costume, pillows, and bag, not the amount he has left, like option (B).

• (E) (1 - 0.4 - 0.2 - 0.3)m: This option is correct because it represents the amount of fabric Charles has left after using 0.9m of fabric.

• (F) m - (0.4 + 0.2 + 0.3)m: This option is correct because it represents the amount of fabric Charles has left after using 0.9m of fabric.

• (G) m - 0.4m - 0.2m - 0.3m: This option is correct because it represents the amount of fabric Charles has left after using 0.9m of fabric.

• (H) m - (0.4m + 0.2m + 0.3m): This option is correct because it represents the amount of fabric Charles has left after using 0.9m of fabric.

Final answer

So, the correct options are (A), (C), (E), (F), (G), and (H).

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