There were some children in a museum.
14 of the children lined up in 10 long rows and
16 of the children lined up in 5 short rows. The remaining children did not line up. There are 11 more children in each short row than each long row.
(a) What fraction of the children did not line up?
(b) How many children lined up?
|
Long rows |
Short rows |
Number |
10 |
5 |
Value |
1 u |
1 u + 11 |
Total value |
10 u |
5 u + 55 |
(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 long rows.
10 u = 3 p --- (1)
212 of the children lined up in short rows.
5 u + 55 = 2 p --- (2)
(1)
x2
20 u = 6 p --- (3)
(2)
x3
15 u + 165 = 6 p --- (4)
(3) = (4)
20 u = 15 u + 165
20 u - 15 u = 165
5 u = 165
1 u = 165 ÷ 5 = 33
Number of children who lined up
= 10 u + 5 u + 55
= 15 u + 55
= 495 + 55
= 550
Answer(s): (a)
712; (b) 550