Question

Tina has some ants and worms. There are 20 more ants than worms. Altogether, there are 80 insects. Let a represent the number of ants and w represent the number of worms. The following system of equations represents this situation: a−20=w a+w=80 How many ants and worms does Tina have?

Answer 1

She has 30 worms and 50 ants

a-20=w ----> a=w+20
a+w=80------> w+20+w=80 ------> 2w + 20 = 80 -----> 2w = 60
w = 30

a+30=80
a=50