Let's assume that the bowl initially contained x grams of almonds. When a 100 grams of nuts were added into the bowl, there was a total of x+100 grams of nuts and almonds. The almonds represented 75% of what was in the bowl, so we can say that x/x+100=3/4. What we want to know is how many nuts can we add into the bowl so the percentage of almonds becomes 25% and the percentage of nuts becomes 75%. We can do this in the following manner:
100+y/100+x+y=3/4
y= the additional grams of nuts added into the bowl.
Cross-multiplying, we get:
400+4y=300+3x+3y
400+y=300+3x
We can find x by using the x/x+100=3/4 equation.
4x=3x+300
x=300
Substitute x into 400+y=300+3x
1200=400+y
y=800.
