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 c

Question

kari74 [83]

3 years ago

12

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 c

ream together have 620 calories. how many calories are in each

Mathematics

1 answer:

adell [148] · Answer 1 · 2022-01-22T05:58:24+03:00

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 $x=3y-20$ and $x+y=620$ . 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 $3y-20+y=620$ . solving for y, we get $y=160$ . then substituting this in to the first equation, we get $x=460$ . So the answer is there are 460 calories in a peice of cake and 160 calories in a scoop of ice cream.