Question

Jan has 35 teaspoons of chocolate 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 of mix on each jar. She wants to fill as many jars as possible. How many jars of french vanilla cocoa mix will Jan fill?

Answer 1

Jan will fill 45 jars because if there is 45 teaspoons there must be 45 jars to put each on in

Answer 2

9 jars

Explanation:

Given,

Number of teaspoons of chocolate coca mix = 35,

Number of teaspoons of french vanilla coca mix = 45,

∵ 35 = 5 × 7,

45 = 5 × 3 × 3

⇒ HCF(35, 45) = 5

Thus, the minimum number of teaspoons in each jar = HCF(35,45) = 5,

Therefore, the maximum possible number of jars = maximum number of jars of french vanilla + maximum number of jars of coca mix

`=\frac{\text{Teaspoons of french vanilla coca mix}}{\text{min teaspoon in each jar}}`

=
`(45)/(5)`

= 9