Library / UKMT Intermediate Mathematical Challenge /173 of 267

UKMT Intermediate Mathematical Challenge, 2023

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Jill was given a large jar of jam. She gave one sixth of the jam to Jan. Jill then gave one thirteenth of the remaining jam to Jas. Jill was left with 1 kg of jam. What was the weight, in kg, of the jam in Jill's jar at the start?

(A) $1.2$ (B) $1.3$ (C) $1.4$ (D) $1.6$ (E) $1.9$

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.