Question

Jane arranged 99 chairs in 6 rows as evenly as possible.

(a) How many rows had exactly 16 chairs?
(b) How many rows had 17 chairs?

[A] (a) 3 rows [B] (a) 5 rows [C] (a) 6 rows [D] (a) 3 rows
(b) 2 rows (b) 3 rows (b) 2 rows (b) 3 rows

Answer 1

(C)a)6

i didnt know how to do b

Step-by-step explanation:

it is bcz 99÷16 is 6

Answer 2

(a) 3 rows had 16 chairs.

(b) 3 rows had 17 chairs.

Step-by-step explanation:

There must be 6 rows, which is constant.

Make equation's:

1st equation: 16p + 17w = 99

2nd equation: w + p = 6, w = 6 - p

Solve by substitution:

⇒ 16p + 17(6 - p) = 99

⇒ 16p + 102 - 17p = 99

⇒ -p = -3

⇒ p = 3

Then find w, w = 6 - p = 6 - 3 = 3

Hence, there is 3 rows of 16 chairs and 3 rows of 17 chairs.

Try to match match and confirm the answer:

• 17 × 3 + 16 × 3 = 99 chairs in 6 rows