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

0.60b + 0.30w = 150; 60 + 0.30w = 150

Answer 2

`60+0.3x=150`

Explanation:

Total money Wei has = $150

Each blue balloon costs = $0.60

Let the number of white balloons be = x

Each white balloon costs = $0.30

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

So, money spent on blue balloons is =
`100*0.60=60`

Amount spent on white balloons is = 0.30x

So, for the total cost, the equation that can be used is :

`60+0.3x=150`

Upon solving this we get,

`0.3x=150-60`

`0.3x=90`

x=300

Hence, Wei can buy 300 white balloons.