In a breakfast cereal, 40% of its weight is fruit. the rest is of the cereal is oats. (a) write down the ratio of the weight of fruit to the weight of oats. give your answer in the form 1 : n. a different breakfast cereal is made using only fruit and bran. the ratio of the weight of fruit to the weight of bran is 1 : 3 (b) what fraction of the weight of this cereal is bran?

(a) We have been given that fruit consists of 40%. If the remaining is oats, then oats should be = 100% - 40% = 60%

So, fruit = 40% and oats = 60%

Ratio of weight of fruit : weight of oats = 40: 60

weight of fruit : weight of oats = 4: 6

Simplifying, weight of fruit : weight of oats = 2:3

(b) Given ratio is weight of fruit: weight of bran = 1: 3

Total weight = 1+ 3 = 4

Since bran is three parts and fruit is only one part,

Fraction of weight of bran = 3/4 = 0.75 = 75%

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

i got 86 for this

hope this !

if you need an explanation just ask