Question

During a hike, Vijay saw a total of 19 birds and butterflies. Knowing that birds have 2 wings and butterflies have 4 wings, he counted 52 wings. Use a model to determine how many birds he saw.

9

10

11

12

Answer 1

@ganeshie8

Answer 2

$$
\large
19=birds+butterflies
$$
$$
52=2*birds+4*butterflies
$$

Can you solve this?

Answer 3

vijay!!!! you mean myself :) :)

Answer 4

:D

Answer 5

Bf=Butterflies
B-Birds
B+Bf=19
2B+4Bf=52
Solve simultaneous equations, subtract both equations from each other.
2B+2Bf=38
2B+4Bf=52
-2Bf=38-52
Bf=14/2=7
19-7=12 Bird

Answer 6

so it would be 12?

Answer 7

yes

Answer 8

each butterfly has 4 wings and each bird has 2 wings, now we dont know the number of birds or butterflies Vijay saw but we know the total number of wings so now we have 2 unknowns. we represent them with variables or letters and solve it simultaneously with the total number of birds and butterflies seen by vijay.
2*(Number of birds)+4*(Number of Butterflies)=total number of wings.
2*(Number of birds)+4*(Number of Butterflies)=52