Problema Solution
lucas has an insect collection that contains only ants and beetles. On Tuesday sergio did not have much luck finding insects to add to his collection. The number of ants plus twice the number of beetles was only eight . The difference between the number of ants and beetles was -4. How many ants and beetles did he catch?
Answer provided by our tutors
Let
a = the number of ants
b = the number of beetles
The number of ants plus twice the number of beetles was only 8:
a + 2b = 8
The difference between the number of ants and beetles was -4:
a - b = -4
We have the following system of equations:
a + 2b = 8
a - b = -4
........
click here to see the system of equations solved for a and b
........
a = 0 ants
b = 4 beetles
The caught 0 ants and 4 beetles.