Question

Jaime & Natali are in competition to sell the rest of their candy for a fundraiser. Jaime had 50 candies and has been selling 4 each day. Natali had 40 candies and has been selling 2 each day. Write and solve the equation to determine how many days it will take for Jaime & Natali to have the same amount of candy left to sell.

a) 5 days
b) 10 days
c) 6 days
d) 8 days

Answer 1

By setting up an equation and solving for d, the number of days it will take for Jaime and Natali to have the same amount of candy left, we find that it will take them 5 days.

Step-by-step explanation:

To find out how many days it will take for Jaime and Natali to have the same amount of candy left to sell, we set up an equation to represent the situation. We let d be the number of days that pass.

Jaime starts with 50 candies and sells 4 each day, so the amount of candy Jaime has after d days is 50 - 4d.

Natali starts with 40 candies and sells 2 each day, so the amount of candy Natali has after d days is 40 - 2d.

We set the two expressions equal to find out when they will have the same amount of candy:

50 - 4d = 40 - 2d.

Solving for d, we get:

• Add 4d to each side: 50 = 40 + 2d
• Subtract 40 from each side: 10 = 2d
• Divide each side by 2: d = 5

Therefore, it will take 5 days for Jaime and Natali to have the same amount of candy left to sell.