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8_murik_8 [283]
3 years ago
5

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

Mathematics
2 answers:
jenyasd209 [6]3 years ago
8 0

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

ale4655 [162]3 years ago
5 0

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.

\frac{hazelnuts}{grams} = \frac{90}{125} =\frac{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.

\frac{hazelnuts}{calories} = \frac{72}{630} =\frac{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!

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