Q1.
Find the missing numbers: a. 5 glasses of juice shared equally among 4 friends is the same as ____ glasses of juice shared equally among 8 friends. So, 5⁄4 = ?⁄8. b. 4 kg of potatoes divided equally in 3 bags is the same as 12 kgs of potatoes divided equally in ___ bags. So, 4⁄3 = 12⁄?. c. 7 rotis divided among 5 children is the same as ____ rotis divided among ____ children. So, 7⁄5 = ___.
Answer
(a) The number of friends is doubled (4 → 8), so the juice must be doubled too.
5/4 = (5 × 2)/(4 × 2) = 10/8 → 10 glasses
(b) The potatoes are tripled (4 kg → 12 kg), so the number of bags must be tripled.
4/3 = (4 × 3)/(3 × 3) = 12/9 → 9 bags
(c) Any equivalent fraction of 7⁄5 works. Doubling both numbers:
7/5 = 14/10 → 14 rotis divided among 10 children
(also 21 rotis among 15 children, 28 rotis among 20 children, …)
(also 21 rotis among 15 children, 28 rotis among 20 children, …)
Why the share does not change: multiply the number of things and the number of people by the same number and every person still receives exactly as much as before.