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
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.
[tex]\frac{hazelnuts}{grams} = \frac{90}{125} =\frac{h}{100}[/tex]
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.
[tex]\frac{hazelnuts}{calories} = \frac{72}{630} =\frac{1}{c}[/tex]
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!
