Emek and Tara were climbing toward a mountain shelter before nightfall. They began the final part of the route with 18 food packs. At the first checkpoint, they collected 7 packs from a supply box, but during the steep climb to the next marker, they used 6 packs. At the second checkpoint, they found a delivery containing 16 more packs. The instructions said to divide the delivery equally between their two backpacks, so each received 8 packs. Before the last climb, they used 5 more packs. Emek combined the changes in order: 18 + 7 - 6 + 16 / 2 - 5 = 22. Their route guide recommended having at least 20 food packs before starting the final section. Tara checked each step and agreed that they had 2 packs more than the recommended amount. Confident that their supplies were sufficient, they continued up the trail and reached the mountain shelter safely before sunset.

Challenges

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Challenge 1 of 5

Challenges

Start
Challenge 1 of 4
Hint
Use the order of operations. Division is completed before addition and subtraction.
Emek wrote 18 + 7 - 6 + 16 / 2 - 5 to find the number of food packs before the final climb. Which operation should be completed first?
18 + 77 - 616 / 22 - 5
Correct! The division 16 / 2 must be completed before the additions and subtractions.
Not quite. Remember that division comes before addition and subtraction in the order of operations.
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Hint
Replace 16 with 20 in Emek's expression, divide by 2 first, and then calculate from left to right.
Suppose the delivery at the second checkpoint had contained 20 packs instead of 16. The delivery would still be divided equally between the two backpacks. Using the same other changes from the story, how many food packs would Emek calculate they had before the final section?
Correct! Dividing the new delivery by 2 and applying the other changes gives 24 packs.
Check that you divide the 20-pack delivery by 2 before completing the additions and subtractions.
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Hint
Change the final subtraction in Emek's expression from 5 to 8, then compare the result with 20.
The route guide recommends at least 20 food packs before the final section. If Emek and Tara had used 8 packs instead of 5 before the last climb, which statement would be correct?
They would have 17 packs, which is 3 fewer than recommended.They would have 19 packs, which is 1 fewer than recommended.They would have 20 packs, exactly the recommended amount.They would have 22 packs, which is 2 more than recommended.
Correct! They would have 19 packs, so they would be 1 pack below the recommendation.
Recalculate the expression using 8 for the packs used before the last climb, then compare the result with 20.
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Dağ İkmal Rotası
TR
ARC_G07_OPS_02_STORY_01
Dağ İkmal Rotası
The Mountain Supply Route
EN
ARC_G07_OPS_02_STORY_01
The Mountain Supply Route