Yumi wants to make 12 cups of party mix using candies and nuts. Her budget requires the party mix to cost her $1.29 per cup. The candies are $2.49 per cup, and the nuts are $0.69 per cup. How many cups of candies and how many cups of nuts should she use?

Answer:4 cups of candies and 8 cups of nutsStep-by-step explanation:Cost per cup = $1.29Total number of cups = 12Total cost of cups = 12 x $1.29                               = $15.48Cost of candies = $2.49 per cupTotal number of candies = xCost of nuts = $0.69 per cupTotal number of nuts = yEquations : x + y = 12 (because total cups of nuts and candies will be equal to 12)2.49x + 0.69y = 15.48 (Total cost of the 12 cups should be 15.48)                 Step 1 : Find x in terms of yx = 12 - yStep 2 : substitute x in terms of y from step 1 in the second equation2.49x + 0.69y = 15.482.49 ( 12 - y) + 0.69y = 15.4829.88 - 2.49y + 0.69y = 15.48-1.8y = -14.4y = 14.4/1.8y = 8Step 3 : Find xx + y = 12x = 12 - yx = 12- 8x = 4Yumi should use 4 cups of candies and 8 cups of nuts.!!