Craig is creating gift baskets for the food pantry to give away. He has 91 canned food items and 52 boxed food items, giving him a total of 143 items. The sum is shown below.
He wants to make sure that every gift basket has an equal amount of canned food items and an equal number of boxed food items, as well as use all of the food items.
Part A: Determine how many gift baskets he will be able to make.
Part B: Then, rewrite the sum to show how these food items will be distributed among the gift baskets.
Part C: Explain why Craig could not make any more gift baskets in this way with the available food items.
The GCF of 91 and 52 is 13
Take it from there.
what does the part b mean
How many of each kind of food item will be in each of the 13 baskets?
7 canned and 4 boxed
why y'all be mean to ms. sue? the only way ya guys get past a D is bcuz of this website-and her. shut up and learn, not just cheat. even if you do, don't be mean to the people helping you. yall dont make any sense.
aight' bet
Part A: To determine how many gift baskets Craig will be able to make, we need to find the common number of canned food items and boxed food items that can be evenly distributed among the baskets.
First, we need to find the greatest common divisor (GCD) of 91 (the number of canned food items) and 52 (the number of boxed food items). The GCD will represent the maximum number of baskets that can have an equal number of canned and boxed food items.
To find the GCD, we can use the Euclidean algorithm:
1. Subtract 52 (the smaller number) from 91: 91 - 52 = 39.
2. Repeat step 1 with the new difference (39) and the smaller number (52): 52 - 39 = 13.
3. Repeat step 1 with the new difference (13) and the smaller number (39): 39 - 13 = 26.
4. Repeat step 1 with the new difference (26) and the smaller number (13): 26 - 13 = 13.
We have reached a difference of 13, which means the GCD of 91 and 52 is 13.
Therefore, Craig will be able to make a maximum of 13 gift baskets.
Part B: Now, let's distribute the food items among the gift baskets.
Since we have 13 gift baskets and want to distribute all the food items, we can divide the total number of cans (91) and boxed items (52) equally among the baskets.
Each gift basket will contain:
- (91 / 13) = 7 canned food items
- (52 / 13) = 4 boxed food items
So the sum can be rewritten to show the distribution among the 13 gift baskets:
91 cans / 52 boxes = 7 cans per basket / 4 boxes per basket
Part C: Craig could not make any more gift baskets in this way with the available food items because the number of canned food items (91) and boxed food items (52) cannot be evenly distributed into more baskets than the GCD (13).