There were some children in a tourist attraction.
14 of the children lined up in 8 short rows and
16 of the children lined up in 4 long rows. The remaining children did not line up. There are 8 more children in each long row than each short row.
(a) What fraction of the children did not line up?
(b) How many children lined up?
|
Short rows |
Long rows |
Number |
8 |
4 |
Value |
1 u |
1 u + 8 |
Total value |
8 u |
4 u + 32 |
(a)
Fraction of children who did not line up
= 1 -
14 -
16 = 1 -
312 -
212= 1 -
512=
712(b)
312 of the children lined up in short rows.
8 u = 3 p --- (1)
212 of the children lined up in long rows.
4 u + 32 = 2 p --- (2)
(1)
x2
16 u = 6 p --- (3)
(2)
x3
12 u + 96 = 6 p --- (4)
(3) = (4)
16 u = 12 u + 96
16 u - 12 u = 96
4 u = 96
1 u = 96 ÷ 4 = 24
Number of children who lined up
= 8 u + 4 u + 32
= 12 u + 32
= 288 + 32
= 320
Answer(s): (a)
712; (b) 320