Jan has 35 teaspoons of chocolate cocoa mix and 45 teaspoons of French vanilla cocoa mix. She wants to put the same amount of mix into each jar, and she only wants one flavor mix in each jar. She wants to fill as many jars as possible. How many jars of French vanilla cocoa mix will Jan fill?

Question

Mathematics

Oscar Weber

18 October, 16:45

Jan has 35 teaspoons of chocolate cocoa mix and 45 teaspoons of French vanilla cocoa mix. She wants to put the same amount of mix into each jar, and she only wants one flavor mix in each jar. She wants to fill as many jars as possible. How many jars of French vanilla cocoa mix will Jan fill?

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Answers (1)

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Shaylee Kemp · Answer 1

Given that Jan has 35 teaspoons of chocolate cocoa mix and 45 teaspoons of French vanilla cocoa mix and that she wants to put the same amount of mix into each jar.

Given that she only wants one flavor mix in each jar and that she wants to fill as many jars as possible.

This question depicts a HCF (highest common factor) question where the maximum amount of jars of each flavor she can fill represent the multiple of the HCF of 35 and 45.

35 = 5 x 7

45 = 5 x 9

Thus the HCF of 35 and 45 is 5.

Therefore, the number of jars of French vanilla cocoa mix Jan will fill is 9.