A) Raf, Jasmin and Carlos swim lengths of the pool for charity. Raf swims 30 more lengths than Jasmin. Jasmin swims four times as many lengths as Carlos. Altogether they swim 372 lengths. How many lengths each person swim?

NB: Algebra question. As Carlos swims the lowest amount of lengths compared to Raf and Freya, and the information from the question follows from the total amount Carlos has swam, we use the symbol 'S' to denote the amount of lengths Carlos has swam. From here it can be deduced that '4*S' is the amount of lengths Jasmin has swam and '4S + 30' is the amount of lengths Raf has swam. The sum of these four 'S + 4S + (4S + 30) = 372. By simplification and rearrangement we get:9S = 372 - 30 ------------> 9S = 342 --------------> S = 38.Carlos swims a total of 38 lengths, Jasmin 152 and Raf 182.

FW
Answered by Fergus W. Maths tutor

2994 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

how do i factorise a quadratic equation when the coefficient of x^2 is not 1?


Give the possible values of x when 2x^2-x-6=0


Out of a sample of 80 batteries, 3 are faulty. What percentage of the batteries are faulty?


A bag contains beads, 60% of which are green. A student claims that the probability of getting two green beads if the beads aren't replaced is 1/3 as 6/10 * 5/9 is 1/3. Is the student right?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning