Question

90 hazelnuts have a mass of 125 g. Hazelnuts have 630 calories per 100 g. work out the number of calories per hazelnut

Answer 1

Hey there!

We see that 90 hazel nuts have a mass of 125 g. First, let's find the ratio of hazelnuts to calories. First, we will want to get down to 100 grams of hazelnuts.

`(hazelnuts)/(grams) = (90)/(125) =(h)/(100)`

We cross multiply and solve for h.

125h=9000

We divide both sides by 125.

h=72

Therefore, 72 hazelnuts have 630 calories. We can plug this into a new proportion and see how many calories one hazelnut has.

`(hazelnuts)/(calories) = (72)/(630) =(1)/(c)`

We cross multiply and solve for c.

72c=630

We divide both sides by 72.

c= 8.75

Therefore, one hazelnut contains 8.75 calories.

I hope this helps!

Answer 2

90 hazelnuts = 125g

Therefore, the mass of one hazelnut is this...

90 / 90 = 125 / 90

1 hazelnut = 25/18 grams

630 calories = 100 grams

100 divided by 25/18 = 72

Therefore...

630 / 72 = 1 hazelnut

AND THE ANSWER IS

8.75 calories = 1 hazelnut