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?

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?

Shadow · Answer

$$150.00 = 100(0.60) + x(0.3)$$
$150 is how much $$$ we have to buy balloons. 100 times 0.60 calculates the cost of purchasing 100 balloons at the price point of 60 cents. The white balloons are half price, aka 30 cents, and we can derive the leftover money after purchasing the blue balloons from x. Since after we subtract the cost of the blue balloons and divide by the price point of the white balloons, we will have solved for x, the # of white balloons we can purchase.