Answer:
A) £1440 in the ratio of 3:5:7 is - £288: £480: £672
After Fran gives her sister Ali a share in the ratio 4:1, Fran was left with £537.60 and her sister was left with £134.40
B) Fran to Seth = £537.60: £480 → £28: £25
Step-by-step explanation:
To find 1 part of £1440 in the ratio of 3:5:7 you have to add 3+5+7= 15
Then you divide £1440 by 15 which is = £96
Next you take 96 and times it by 3 then 5 then 7 and put it in the ratio 3:5:7= £288: £480: £672
To find out how much Fran and her sister Ali end up with you have to add 4 & 1 = 5
Then divide Fran’s share, £672, by 5= £134.40
£134.40 is Ali’s share and now we need to find Fran’s by multiplying £134.40 by 4 which is= £537.60
F: A = £537.60: £134.40
As we now know Fran is left with £537.60 and we have to put that into a ratio with what Seth has. Earlier we found out that Seth has a total of £480 from the original share (£1440). If we put this knowledge into a ratio it becomes:
£537.60: £480
But we need to simplify them. So we need to change the values to whole number.
Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places. We then have: 480: 537.6 = 4800: 5376
Try to reduce the ratio further with the highest common factor (HCF). The HCF in our case is 192.
We need to divide both terms by the HCF:
4800 ÷ 192= 25
5376 ÷ 192= 28
