Pregunta
Tuesday Destiny just received two gifts from her grandmother. The first gift is a box of 26 candy bars and the second gift is a pack of 12 cookies. Destiny wants to make identical snack bags for her cousins. What is the greatest number of snack bags that Destiny can make?
Ask by Rodriquez Barrett. in the United States
Feb 25,2025
Solución de inteligencia artificial de Upstudy
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Destiny can make 2 identical snack bags, each containing 13 candy bars and 6 cookies.
Solución
To determine the maximum number of identical snack bags Destiny can create, we need to divide both the candy bars and cookies evenly among the bags. This means that the number of snack bags must be a divisor of both 26 (the candy bars) and 12 (the cookies).
Step 1: Find the factors of 26.
Factors: 1, 2, 13, 26
Step 2: Find the factors of 12.
Factors: 1, 2, 3, 4, 6, 12
Step 3: Identify the greatest common divisor (GCD) of 26 and 12.
The common divisors are 1 and 2, with 2 being the greatest.
Thus, the greatest number of identical snack bags Destiny can make is 2.
Each bag would contain:
Candy bars: 26 ÷ 2 = 13 candy bars per bag.
Cookies: 12 ÷ 2 = 6 cookies per bag.
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Simplifique esta solución The Deep Dive
To find the greatest number of identical snack bags Destiny can make with her gifts, we need to determine the greatest common divisor (GCD) of the two quantities: 26 candy bars and 12 cookies. The divisors of 26 are 1, 2, 13, and 26. The divisors of 12 are 1, 2, 3, 4, 6, and 12. The largest number that appears in both lists is 2. Therefore, Destiny can make a maximum of 2 identical snack bags. So, she can create 2 snack bags with each bag containing 13 candy bars and 6 cookies. Happy snacking!
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