Answer: 4x + 32y > 224
Explanation:
Given:
Time to decorate cupcake = 4 minutes
Time to decorate cake = 32 minutes
Total time spent decorating last week = more than 224 minutes
number of cupcakes = x
number of cakes = y
The inequality:
4x + 32y > 224
A total of 4 cakes last week
4x + 32(4) > 224
4x + 128 > 224
4x > 224 - 128
4x > 96
x > 96/4
x > 24
Is it possible that Nancy decorated 3 cakes and 32 cupcakes last week?
4x + 32y > 224
4(32) + 32(3) > 224
128 + 96 > 224
224 > 224
Therefore, it is possible that Nancy decorated 3 cakes and 32 cupcakes last week