Egbert is making trail mix out of 18 bags of nuts and 9 bags of dried fruit. He wants each new portion of trail mixto be identical, containing the same combination of bags of nuts and bagsof dried fruit, with no bags left over. What is the greatest number of portions of trail mix Egbert can make? ​

Respuesta :

Answer:

2 bags of deezznuts and 1 bag of fruit

Step-by-step explanation:

18 bags of nuts

9 bags of fruit

2 bags of nuts mixed with 1 bag of fruit, multiply that by nine and you have no remainder on any of the bags

The greatest number of portions of trail mix Egbert can make is 18.

Given that,

Egbert is making a trail mix out of 18 bags of nuts and 9 bags of dried fruit.

He wants each new portion of trail mix to be identical,

Containing the same combination of bags of nuts and bags of dried fruit, with no bags leftover.

We have to determine,

What is the greatest number of portions of trail mix Egbert can make? ​

According to the question,

Egbert is making a trail mix out of 18 bags of nuts and 9 bags of dried fruit.

Then,

HCF of (18, 9) = 9

Egbert can make 9 trail mix out.

And the number of bags of nuts in 1 trail mix is,

[tex]=\dfrac{18}{9}\\\\= 2[/tex]

Number of a bag of dried fruits in 1 trail mix,

[tex]=\dfrac{9}{9}\\\\= 1[/tex]

Hence, The greatest number of portions of trail mix Egbert can make is 18.

To know more about Equation click the link given below.

https://brainly.com/question/25678010