Answer:
18 oz of nuts were there.
Step-by-step explanation:
Given:
Total quantity of trail mix = 42 oz.
Ratio of fruit to nuts are 4:3.
Now, to find oz of nuts:
Let the quantity of fruits be [tex]4x.[/tex]
And the quantity of nuts be [tex]3x.[/tex]
As given, the total quantity of trail mix = 42 oz.
According to question:
[tex]4x+3x=42[/tex]
⇒ [tex]7x=42[/tex]
Dividing both sides by 42 we get:
⇒ [tex]x=6.[/tex]
Now, to get the quantity of nuts we put the value of [tex]x[/tex]:
Quantity of fruits
[tex]=3x\\=3\times 6\\=18.[/tex]
Therefore, 18 oz of nuts were there.