At a busy fossil site, Emek and Luna had 72 marked digging spots to share equally among 8 teams. They first gave each team 5 spots, using 40 spots. Then they shared the remaining 32 spots, giving 4 more to each team. That made 9 spots for every team. Luna checked that 8 groups of 9 made 72, with none left over. Emek marked the 8 equal zones, and the teams began the day's excavation.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
First find how many spots were given out, then subtract that number from 72.
Emek says that after giving each of the 8 teams 5 spots, 32 of the 72 spots remain. Which calculation correctly checks his statement?
8 times 5 = 40, then 72 - 40 = 328 + 5 = 13, then 72 - 13 = 598 times 5 = 32, then 72 - 32 = 4072 divided by 8 = 9, then 9 - 5 = 4Correct! Giving 5 spots to each of 8 teams uses 40 spots, leaving 32.
Try again. First find 8 groups of 5, then subtract that amount from 72.
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Hint
Divide the 32 remaining spots into 8 equal groups.
After 40 spots were given out, 32 spots remained. If those 32 spots were shared equally among the 8 teams, how many more spots did each team receive?
Correct! Each team received 4 more spots.
Try again. Find how many spots are in each of 8 equal groups of 32.
Next🎉 Congrats! You got this question!
Hint
Find 8 groups of 8 and compare the result with 72.
A helper says each of the 8 teams should get 8 spots instead of 9. Which statement shows why this would not use all 72 spots?
8 groups of 8 make 72, so no spots would remain.8 groups of 8 make 64, so 8 spots would remain.8 groups of 8 make 56, so 16 spots would remain.8 groups of 8 make 80, so there would be too many spots.Correct! Eight teams with 8 spots each would use only 64 spots, leaving 8.
Try again. Calculate 8 times 8 and compare it with 72.
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