Evelyn plans to eat no more than 360 calories for her afternoon snack. She
drank a glass of juice containing 120
calories. Each scoop of popcorn
contains 60 calories. Write and solve
an inequality to determine how many
scoops of popcorn she can eat.

12 and -4

Step-by-step explanation:

Assume the larger number is x and the smaller one is y.

In that case the relevant simultaneous equations are:

x + y = 8

2x + 4y = 8

Use substitution to find relative value of y:

x + y = 8

y = 8 - x

Use to solve equation:

2x + 4y = 8

2x + 4(8 - x) = 8

2x + 32 - 4x = 8

2x  - 4x= 8 - 32

-2x = -24

x = -24 / -2

x = 12

y = 8 - x

= 8 - 12

= -4