There were some children in a safari park.
14 of the children lined up in 9 short rows and
15 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 |
9 |
4 |
Value |
1 u |
1 u + 8 |
Total value |
9 u |
4 u + 32 |
(a)
Fraction of children who did not line up
= 1 -
14 -
15 = 1 -
520 -
420= 1 -
920=
1120(b)
520 of the children lined up in short rows.
9 u = 5 p --- (1)
420 of the children lined up in long rows.
4 u + 32 = 4 p --- (2)
(1)
x4
36 u = 20 p --- (3)
(2)
x5
20 u + 160 = 20 p --- (4)
(3) = (4)
36 u = 20 u + 160
36 u - 20 u = 160
16 u = 160
1 u = 160 ÷ 16 = 10
Number of children who lined up
= 9 u + 4 u + 32
= 13 u + 32
= 130 + 32
= 162
Answer(s): (a)
1120; (b) 162