Sarah lost 12 pounds over the summer by jogging each week. By winter time, she had gained 4 3/8 pounds. Represent this situation with an expression involving signed numbers. What is the overall change in Sara's weight.

Assume sarah's weight is m.

first, she lost 12 pounds,

this means that her weight became: m - 12 pounds

then, she gained 4 3/8 pounds, therefore, her current weight is: m-12+4 3/8 pounds

the total change in her weight is:

-12+4 3/8 = - 7.625 pounds

the negative sign refers to the loss.

this means that the overall change is losing 7.625 pounds