cake wghs 550g & has 3 ing. flour sugar & raisins Theres twice as much flour as sugar & one & a half times as much sugar as raisinsthis problem is related to ratios and have to find...

cake wghs 550g & has 3 ing. flour sugar & raisins Theres twice as much flour as sugar & one & a half times as much sugar as raisins

this problem is related to ratios and have to find how much flour is there?

Asked on by sabahkhan

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neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

Let raisins weigh x gram.

Then sugar  should weigh 1.5 times raisin = 1.5x

Flour  weight = 2times sugar = 2*1.5 = 3x.

So the total contents of cake = x+1.5x+3x = 5.5x.

Therefore 5.5x = 550 gram

 x= 550/5.5 = 100gram

Therefore the content of flour = 3x =  3*100 = 300gram.

william1941's profile pic

william1941 | College Teacher | (Level 3) Valedictorian

Posted on

The total weight of the cake is 550g. Let the weight of raisins be R.

As the cake has one and a half as much sugar as raisins, the weight of sugar is (3/2)*R

Now as the cake has twice as much flour as sugar, and the weight of sugar has already been expressed as (3/2)*R,  the weight of flour is 2*(3/2)*R = 3*R

So the sum of all the three is 550

=> R + (3/2)*R + 3*R = 550

=> R (1 + 3/2 + 3) = 550

=> R ( 11/2 ) = 550

=> R = 550/ (11/2)

=> R = 1100/11 = 100 g

So the weight of flour in the cake is 3*100 = 300g

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