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

During a hike, Vijay saw a total of 19 birds and butterflies.

a total of 19 birds and butterflies.

19 birds and butterflies.

19 birds + butterflies.

19 = birds + butterflies

birds have 2 wings and butterflies have 4 wings, he counted 52 wings

Answer 2

\[2\ \frac{wings}{bird}*birds=wings \ from\ birds\]\[4\frac{wings}{butterfly}*butterflies=butterfly\ wings\]or

2birds = bird wings

4butterflies = butterfly wings

Add up the wings together. remember how he counted 52 wings.

2birds + 4 butterflies = 52

birds + butterflies = 19

Now solve for birds and butterflies.

Answer 3

I should say , to avoid confusion,

2*birds + 4*butterflies = 52

birds + butterflies = 19

Answer 4

Hint: to solve, use substitution.

Answer 5

birds = 19 - butterflies

2(19-butterflies) + 4butterflies = 52

38 - 2 butterflies + 4butterflies = 52

2 butterflies = 14

butterflies = 7

birds + 7 = 19

birds = 12