Question

Grant and Stan brought home candy from a valentines party at school. Grant had 3 candy bars and Stan had 5 candy bars. They had to share their candy with their little brother, Frank. After their mother divided the candy equally between the three of them, Frank found 8 dimes and wanted to pay his brothers for the candy they shared with him. How many dimes does Frank give to each brother?

Answer 1

Out of the 8 dimes found Frank gives Grant 1 dime and he gives Stan 7 dimes

Explanation:

The parameters of the question are;

The number of candy bars Grant had = 3 candy bars

The number of candy bars Stan had = 5 candy bars

The candy was shared equally between them and Frank

The amount Frank found and wants to use to pay his brothers = 8 dimes

The total number of candies = 3 candy bars + 5 candy bars = 8 candy bars

The number of candy each of the three brothers received = 8/3 candies each

The amount of candy given by Grant = 3 - 8/3 = 1/3 parts of candy

The amount of candy given by Stan = 5 - 8/3 = 7/3 candy parts

Therefore, of the 8/3 part of candy Frank received, 1/3 was from Grant and 7/3 was from Stan

We have;

8/3 candy parts = 8 × 1/3 candy parts

1/3 candy part = 1 × 1/3 candy part

7/3 candy part = 7 × 1/3 candy parts

The candy Frank received can be split into 8 parts of 1/3 candy parts with 1 part from grant and 7 parts from Stan

Therefore, Frank should give 1 dime to Grant and 7 dimes to Stan for the number of candy parts received from each of the brothers