Hi Shifus, kindly help with this question please. Answer is 140 but I’m stuck with the method. Thank you in advance.

Source: Springdale Primary

Hi Shifus, kindly help with this question please. Answer is 140 but I’m stuck with the method. Thank you in advance.

Source: Springdale Primary

Mazda12345

I used constant difference…

A : B (At first) Difference

3 : 5 2

A : B (In the end)

3 :4 1

times 2 times 2

6 : 8 2

6 – 3 =3

3u—12

1u — 12 / 3

— 4

5u — 4 times 5

= 20

The answer is wrong.

altp10

Hi Owlinker,

Thank you. I had gotten 20 too. But the answer showed 140 hence I was wondering what I could have done wrong. Your reply reaffirms my answer is correct. Basically it’s unchanged difference between them. Thank you for your help. 🙏

alfretztay

If the answer is $140,

($140/5) x 3 = $84 (money Aaron had at first)

84 + 12 = 96

140 + 12 = 152

96 : 152

12 : 19 ($140 is thus incorrect as the ratio could not be reduced to 3 : 4.)

altp10

Hi alfretztay, thank you for your reply, which reaffirms that my answer is correct.. appreciate it…

alfretztay

Hi altp10, you are most welcome. Yes, your answer is indeed correct. Also, I believe that most if not all would agree that coaching students in checking their answers is essential too.

Orckids

This is a question, in which all the entities in a ratio change.

Between start and end, there is a change in the amount of money that Bala and Aaron hold.

Aaron | Bala | |

Start | 3u | 5u |

+ 12$ | +12$ | |

End | 3p | 4p |

Cross-multiply to make the parts same, the modified table will be

Aaron | Bala | |

Start | 12U | 15U |

+48$ | +36$ | |

End | 12p | 12p |

since the parts are the same,

12U + 48 = 15U + 36

3U = 12

1U = 4$

Money that Bala had at first was 5U = 5 x 4$ = **20$**.

**Verify**

Initially, Bala = 20$, Aaron = 12$

Adding 12$, Bala = 32$, Aaron = 24$

24 : 32 = 6:8 = **3:4 **

altp10

Hi Orckids,

Thank you. I had gotten 20 too. But the answer showed 140 hence I was wondering what I could have done wrong. Your reply reaffirms my answer is correct. Thank you for your help. 🙏