Question

The soccer coach gave Brandon $16 to buy juice boxes from the grocery store. The juice boxes come in pack of 16 and cost $1.75 per pack. Alex was given $21 to buy almonds at the grocery store. Almonds are sold in cans of 200 and cost $2.59 per can.

Brandon buys as many cases of juice boxes as he can afford. Alex buys as many cans of almonds as he can afford.



How many complete snack bags can they make? Explain or show your thinking.

Answer 1

Brandon can buy 9 packs of juice boxes and Alex can purchase 8 cans of almonds, allowing them to make 144 complete snack bags in total, limited by the quantity of juice boxes.

Step-by-step explanation:

Calculation of Complete Snack Bags

Firstly, we calculate how many packs of juice boxes Brandon can buy with $16. Since each pack costs $1.75, Brandon can buy 9 packs (because $16 ÷ $1.75 = 9.14, but since he cannot buy a fraction of a pack, he can only buy 9 packs).

Next, we calculate how many cans of almonds Alex can buy with $21. Each can costs $2.59, so Alex can buy 8 cans (because $21 ÷ $2.59 = 8.10, but since he cannot buy a fraction of a can, he can only buy 8 cans).

Now, since each pack of juice contains 16 juice boxes and Brandon bought 9 packs, there will be a total of 144 juice boxes (9 packs × 16 juice boxes/pack). For the almonds, since each can contains 200 almonds and Alex bought 8 cans, there will be a total of 1600 almonds (8 cans × 200 almonds/can).

Since we need to create complete snack bags with both juice boxes and almonds, the number of complete snack bags is limited by the item with the least quantity. Therefore, they can make 144 complete snack bags as that is the number of juice boxes available, and this number will dictate the number of complete snack bags.

Answer 2

64 complete snack bags.

Step-by-step explanation:

Brandon has $16 maximum to spend. 16 juices come in a pack for $1.75 per pack, so 16 divided by $1.75 ≈ 9. We want to see how many of those 9 packs of 16 juices we can get into the snack bags, so we need to multiply 16 x 9 = 144 juices.

Alex has $21 maximum to spend. 200 almonds come in a can for $2.59 per pack, so 21 divided by $2.59 ≈ 8. We want to see how many of those 8 cans of 200 almonds we can get into the snack bags, so we need to multiply 200 x 8 = 1600 almonds.

This piece of information was omitted from the original question:

[Brandon and Alex are making snack bags for their soccer club. Each soccer player will get a snack bag that will have 2 juice boxes and 25 almonds.]

Based on this omission, only 2 juice boxes can fit in a snack bag and only 25 almonds respectively. Thus, we divide.

144/2 = 72 juices

1600/25 = 64 almonds

Therefore, there would be 64 complete snack bags that can hold 2 juices and 25 almonds without overflow.