Answer:
<em>There would be 20 ounces of almonds in the bag</em>
Step-by-step explanation:
<u>System of Equations</u>
To solve the problem, we'll set up these two variables:
x = ounces of almonds
y = ounces of raisins
The ratio of almonds to raisins in the trail mix is 5:7, thus:
![\displaystyle \frac{x}{y}=\frac{5}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bx%7D%7By%7D%3D%5Cfrac%7B5%7D%7B7%7D)
Cross-multiplying:
7x=5y [1]
A 3-pound bag of this trail mix contains 3*16=48 ounces that include almonds and raisins, thus:
x + y = 48 [2]
Multiplying [2] by 5:
5x + 5y = 240
Substituting from [1]:
5x + 7x = 240
12x = 240
x = 240/12
x = 20
There would be 20 ounces of almonds in the bag