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⬛ Represents 4u
R ⬛47 ⬛47 ⬛47 ⬛47 ⬛47
As we can see, R still equals 20u + 235 but we have redrawn it into 5 equal parts of 4u + 47.
The basis behind using 20u (4 x 5) is that 20 is the lowest common multiple of 4 and 5, so using it allows exact division by both 5 and 4.
Of course , you may choose to use other higher common multiples as well.
Using 20u for green and 20u + 235 for red allows us to compare them easily, since the units are of the same size/value/quantity.
After 4/5 of red were burst and 3/4 of green were burst,
1/5 of red were left and 1/4 of green were left
1/4 of green : 20u ÷ 4 = 5u
1/5 of red : (20u + 235) ÷ 5 = 4u + 47
Total left over = 5u + 4u + 47 = 9u + 47
This is equal to 92.
So 9u = 92 - 47 = 45
1u (or simply written as u, the 1 is optional) = 45 ÷ 9 = 5
Total Balloons at first = 20u + 20u + 235
= 40u + 235
= 40 × 5 + 235
= 200 + 235
= 435
Sum(or summation) of the same fraction of individual parts that make up the total = same fraction of total
Eg. 1/5 of 20u + 1/5 of 235 = 1/5 of all the red balloons
Eg. 1/3 × 9 = 3
But 9 = 6 + 3
1/3 × 6 + 1/3 × 3 = 2 + 1 = 3 = 1/3 × 9
so we can say 1/3 × 9 = 1/3 × (6 + 3) = 1/3 × 6 + 1/3 × 3
This is basically the distributive law of multiplication.