You use 30 sandwiches and 42 granola bars to make identical picnic baskets. You make the greatest number of picnic baskets with no food left over. How many sandwiches and how many granola bars are in each basket?
please help me as fast as you guys can
You need the highest common factor for the number of baskets.
The HCF for 30 and 42 is 6
so 6 baskets, with 5 sandwiches and 7 granolas in each
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You use 30 sandwiches and 42 granola bars to make identical picnic baskets. You make the greatest number of picnic baskets with no food left over. How many sandwiches and how many granola bars are in each basket?
To find the number of sandwiches and granola bars in each basket, we need to find the greatest common divisor (GCD) of 30 and 42. The GCD represents the largest number that divides both 30 and 42 evenly.
One way to find the GCD is by listing the factors of each number and finding the largest one they share:
For 30: 1, 2, 3, 5, 6, 10, 15, 30
For 42: 1, 2, 3, 6, 7, 14, 21, 42
From this list, we see that the largest number both 30 and 42 are divisible by is 6. Therefore, each picnic basket will have 6 sandwiches and 6 granola bars.