Snack Pack possibilities

Question

Lei ate 209 snack packs last year. Snack packs are sold in boxes of ten or as singles. Fill in the chart below with 3 possible combinations of snack packs that lei could have bought last year.

Answer 1

Hello Elle,

You can come up with a general calculation where the number of boxes times 10+ the number of single snack packs equals 209

so 20 boxes times 10+9 singles equals 209

15 boxes times 10+59 singles equals 209

10 boxes times 10+109 singles equals 209

You could make a chart for the number of boxes from 0 to 20 by multiplying each box by 10, and then subtracting that from 209 to get your number of singles

Answer 2

• x be the number of boxes (each containing 10 snack packs)

• y be the number of single snack packs

The equation to satisfy is:

10x + y = 209

Three possible combinations:

1. 20 boxes and 9 singles

10(20) + 9 = 200 + 9 = 209

2. 15 boxes and 59 singles

10(15) + 59 = 150 + 59 = 209

3. 10 boxes and 109 singles

10(10) + 109 = 100 + 109 = 209

Answer 3

Here are three possible combinations of how Lei could have bought 209 snack packs using boxes of 10 and singles:

Boxes of 10SinglesTotal Packs
20	9	209
15	59	209
10	109	209

Explanation: Each box contains 10 snack packs, so the total is calculated as:

(Boxes × 10) + Singles = 209