wei has $150.00 to make a garland using 60 - cent balloons. he wants to purchase 100 blue balloons and some…

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? 100b + w = 150; 6,000 + w = 150 100b + w = 150; 100b + 30 = 150 0.60b + 0.30w = 150; 60 + 0.30w = 150 0.60b + 0.30w = 150; 100 + 0.30w = 150

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? 100b + w = 150; 6,000 + w = 150 100b + w = 150; 100b + 30 = 150 0.60b + 0.30w = 150; 60 + 0.30w = 150 0.60b + 0.30w = 150; 100 + 0.30w = 150

Answer

Explanation:

Step1: Set up cost - based equation

Let $b$ be the number of blue balloons and $w$ be the number of white balloons. The cost of a blue balloon is $0.6$ dollars and the cost of a white balloon is $0.3$ dollars (half of $0.6$ dollars), and the total money is $150$ dollars. So the equation is $0.6b + 0.3w=150$.

Step2: Substitute the number of blue balloons

We know that $b = 100$. Substitute $b = 100$ into the equation $0.6b+0.3w = 150$. We get $0.6\times100+0.3w=150$, which simplifies to $60 + 0.3w=150$.

Answer:

C. $0.60b + 0.30w=150;60 + 0.30w=150$