modulus

9 friends brought 178 tickets How many more ticket would they have to buy for all of them could have the same amount? If we take 178 mod 9 to find the remainder, we get 7. If we buy the 7 more (remainder) tickets, we have: 9 friends - 7 remainder = 2 tickets To prove our work, we add the 2...

A real estate agent has $920 to spend on newspaper ads. Each ad costs $6. After buying as many ads as she can afford, how much money will the real estate agent have left over? We want to know the remainder of 920/6. We can type 920 mod 6 into our search engine and get: 920 mod 6 = 2

Hero cards come in packs of 6. Max has 8 packs of hero cards. He decides to give as many of his friends as he can 9 cards each. How many cards are left over after he does this? Calculate the number of cards Max starts with: 8 packs * 6 cards per pack = 48 total cards If he gives as many...

A baker makes 387 cupcakes. They are sold in packs of six. How many full packs can be made? How many cupcakes are leftover? Full packs = Lowest Rounded Integer of (Total cupcakes / packs) Full packs = Lowest Rounded Integer of 387/6 Full Packs = Lowest Rounded Integer of 64.5 Full Packs = 64...

An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 21 minutes. It is currently 1:15 P.M. and both buckets dumped water 5 minutes ago. Find the...

Sarah splits her 87 Pokémon cards into 9 piles. How many are left over? We want the reminder of 87/9, so we type 87 mod 9 into our search engine and we get: 87 mod 9 = 6

A gardener plants flowers in the following order: carnations,daffodils, larkspurs, tiger lillies, and zinnias. if the gardener planted 47 plants, what kind of flower did he plant last? Let c be carnations, d be daffodils, l be larkspurs, t be tiger lillies, and z be zinnias. The order goes as...

A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each hold 120 popped kernels. There are 1,600 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed and how many popped kernels...

Find the odd number less than 100 that is divisible by 9, and when divided by 10 has a remainder of 7. From our divisibility calculator, we see a number is divisible by 9 if the sum of its digits is divisible by 9. Starting from 1 to 99, we find all numbers with a digit sum of 9. This would...

A sewing class has 205 yards off a bric to make quilts. Each quilt requires 7 yards off a bric. How much will remain after all the quilts are made? Calculate the number of full quilts: 205/7 = 29.2857 so 29 full quilts. 29 * 7 = 203 205 - 203 = 2 yards remaining. You can also use the modulus...