He will need 315 sandwiches to make each day next week
Step-by-step explanation:
The given:
We need to find how many sandwiches he will need to make each day next week
Assume that Tuesday needs x sandwiches
∵ Friday's meeting needs 12 more sandwiches than Tuesday
∵ Tuesday needs x sandwiches
- Add x by 12 to find Friday's need
∴ Friday needs = x + 12
∵ Tuesday needs 6 fewer than Monday
- That means Monday needs 6 more than Tuesday, add 6 to x
to find Monday needs
∴ Monday needs = x + 6
∵ Monday needs 20 more than Wednesday
- That means Wednesday needs 20 less than Monday, subtract
20 from Monday needs to find Wednesday needs
∴ Wednesday needs = x + 6 - 20 = x - 14
∵ Wednesday needs 5 fewer than Thursday
- That means Thursday needs 5 more than Wednesday, add 5 to
Wednesday needs to find Thursday needs
∴ Thursday needs = x - 14 + 5 = x - 9
∵ The number of sandwiches ordered for the meeting that calls
for the fewest is 50
- From the days needs above the fewest one is Wednesday, then
equate Wednesday needs by 50
∵ Wednesday needs is x - 14
∴ x - 14 = 50
- Add 14 to both sides
∴ x = 64
Substitute x in each day needs to find the number of sandwiches
∵ Tuesday needs is x
∴ Tuesday needs = 64
∵ Friday needs is x + 12
∴ Friday needs = 64 + 12 = 76
∵ Monday needs is x + 6
∴ Monday needs = 64 + 6 = 70
∵ Wednesday needs = 50
∵ Thursday needs is x - 9
∴ Thursday needs = 64 - 9 = 55
Add the numbers of sandwiches of all day to find the number of sandwiches he will need to make each day next week
∵ The number of sandwiches = 76 + 64 + 70 + 50 + 55
∴ The number of sandwiches = 315
He will need 315 sandwiches to make each day next week
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