The number of calories in a piece of cake is 20 less than three times the number in a scoop of ice cream. the cake and the ice cream together have 620 calories. how many calories are in each

To solve this we must set up a system of equations where x is the number of calories in a peice of cake, and y is the number of calories in a scoop of ice cream. when we do this, we get and . So, to solve this sytem, you can use many methods, but I will use substitution. if we substitute the first equation for x in the second, we get . solving for y, we get . then substituting this in to the first equation, we get . So the answer is there are 460 calories in a peice of cake and 160 calories in a scoop of ice cream.