Question

Randi and her sister make balloon animals and sold them for $.50 each. They made $48.00. If rando made twice as many animals as her sister how many balloon animals did each girl make?

Answer 1

Randy made 64 ballon animals and her sister made 32 ballon animals

Solution:

Let the number of ballon animals sold by Randi be "x"

Let the number of ballon animals sold by her sister be "y"

Cost of 1 ballon animal = $ 0.50

Rando made twice as many animals as her sister

Number of ballon animals sold by Randi = twice the number of ballon animals sold by her sister

x = 2y ---- eqn 1

Together, they earned $ 48

Therefore, we can frame a equation as:

Number of ballon animals sold by Randi x Cost of 1 ballon animal + number of ballon animals sold by her sister x Cost of 1 ballon animal = 48

$2y \times 0.50 + y \times 0.50 = 48$

$1y + 0.5y = 48\\\\1.5y = 48\\\\y = \frac{48}{1.5}\\\\y = 32$

Therefore, from eqn 1

x = 2y

x = 2(32)

x = 64

Thus Randy made 64 ballon animals and her sister made 32 ballon animals