Jane is making a healthy snack of trail mix to sell as part of a fundraiser for the school hiking club. The mixture will have 2.
5 times as many kilograms of raisins as of sunflower seeds. Sunflower seeds cost $12/kg and raisins cost $6/kg. If Jane has $108 dollars to spend, what mass of sunflower seeds and of raisins should she buy? I have one formula, which is 12s + 6r = 108 but I need one more equation, plus how to solve it. Thank you!!!!
So the other equation is 2.5 times as many kilos of rasins than sunflower seeds or rasin kilos=2.5 times sunflower seed kilos r=2.5s
the 2 equations are 12s+6r=108 and r=2.5s you can simplify the first equation (that sometimes helps) undistribute the 6 from both left side 6(2s+r)=108 divide both sides by 6 2s+r=18
now use r=2.5s and subsitute 2.5s for r in first equation 2s+2.5s=18 4.5s=18 divide both sides by 4.5 s=4 subsitute r=2.5 times s s=4 r=2.5 times 4 r=10