Question

Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.

Which models can be used to solve the problem?

Answer 1

The answer is 0.60b + 0.30w = 150; 60 + 0.30w = 150

Answer 2

Wei can purchase 300 balloons.

The model used for the problem is
`60+0.3x=150`.

Explanation:

Let the number of white balloons = x

The cost of blue balloons and white balloons are 60 cent = $0.6 and 30 cents = $0.3 respectively.

Wei purchased 100 blue balloons and have $150 to buy both balloons.

So, we get the relation,

`0.6* 100+0.3x=150`

i.e.
`60+0.3x=150`

i.e.
`0.3x=90`

i.e.
`x=300`

Thus, Wei can purchase 300 balloons.

So, the model used for the problem is
`60+0.3x=150`.