Q&A - P4 Math

[nicnac]

Many thanks to SAHMom for answering two of my queries.

Can anyone help with this question? -- The total mass of 3 big sacks of rice is the same as the total mass of 5 small sacks of rice. A big sack of rice is 2.2kg heavier than a small sack of rice. What is the mass of 5 small sacks of rice?

tia :-)

Don't have paper with me now so can only explain...

( u --> mass of small sack )

3u + 6.6 = 5u
2u--> 6.6
1u = 3.3
5u --> 5*3.3= __kg

[Daddy D]

In a basket, there are some oranges and apples. 2/7 of the apples is equal to 3/4 of the oranges. If there are 260 more apples than oranges, how many apples and oranges are there in the basket?

TIA!

[ChiefKiasu]

In a basket, there are some oranges and apples. 2/7 of the apples is equal to 3/4 of the oranges. If there are 260 more apples than oranges, how many apples and oranges are there in the basket?

TIA!

By algebra:
2/7 A = 3/4 O
O = 2/7 * 4/3 A = 8/21 A
A - 8/21 A = 260
13/21 A = 260
A = 420
O = 8/21 A = 160

Someone else can do the model

[NerdyMath]

In a basket, there are some oranges and apples. 2/7 of the apples is equal to 3/4 of the oranges. If there are 260 more apples than oranges, how many apples and oranges are there in the basket?

TIA!

[lee_yl]

In a basket, there are some oranges and apples. 2/7 of the apples is equal to 3/4 of the oranges. If there are 260 more apples than oranges, how many apples and oranges are there in the basket?

TIA!

Model drawing

[Daddy D]

Thanks a lot!
My mind is still too slow in digesting all these models...

[lee_yl]

Thanks a lot!
My mind is still too slow in digesting all these models...

Not easy, my P4 girl also can't solve it on her own.

[Nebbermind]

In a basket, there are some oranges and apples. 2/7 of the apples is equal to 3/4 of the oranges. If there are 260 more apples than oranges, how many apples and oranges are there in the basket?

TIA!

Another way is by using common multiples.

Since 2A is equal to 3O, the lowest common multiple is 6.

2/7 A is also 6/21 A, ie, 6U out of 21U.

If 3/4 of O is 6U, then O is 8U.

21U-8U = 260
U = 20

Apple = 21u = 420
Orange = 8u = 160

[PiggyLalala]

In a basket, there are some oranges and apples. 2/7 of the apples is equal to 3/4 of the oranges. If there are 260 more apples than oranges, how many apples and oranges are there in the basket?

TIA!

This is a very common sum and it is not difficult. The trick is to make the 2 numerators the same.
2/7 = 6/21 of the apples is equal to 3/4= 6/8 of the oranges.

X X X X X X x x x x x x x x x x x x x x x - apples
X X X X X X x x - oranges

therefore (15-2) units =260
13 units =260
1 unit = 20
Apples =21 units =420
Oranges =8 units =160

[Daddy D]

Nice... Learn another new thing again today.