Ben is helping plant tulips.
He plants bulbs in two rows and has one bulb left over. So he tries again.
He plants bulbs in three rows and has one bulb left over. So he tries again.
He plants bulbs in four rows and has one bulb left over. So he tries again.
He plants bulbs in five rows and has one bulb left over. So he tries again.
He plants bulbs in six rows and has one bulb left over.
We know he has less that 100 bulbs.
How many bulbs did they have?

We tried using manipulatives and became quite confused and we don't see an emerging pattern.

1. Not divisible by 2,3,5. Which means it is not divisible by any number that is divisible by any of these (ie, 2,4,6,8,9,10,12...

so look at the possibilities
7,13,19,25,31,37,43,49,55,61,...
now eliminate those the five rule+1 eliminates and you are left with..
31,61
now eliminate those that four rule+1
and 61 is left, and it satisfies the three rule, and the two rule.

posted by bobpursley

## Similar Questions

1. ### Math

Nancy wants to plant 16 tulip bulbs and 24 daffodil bulbs. She wants to plants rows of tulips and rows of daffodils. She wants the same number of flowers in each row. What are the longest rows of flowers she plants?
2. ### Math

Carlos has 32 iris bulbs and 40 tulip bulbs to plant. He wants to plant them in rows with one type of bulb in each row. He wants all of the rows to have the same number of bulbs. The greatest number of bulbs he can plant in each
3. ### math

Carlos has 32 iris bulbs and 40 tulip bulbs. He wants to plant them in rows with one type of bulb in each row. He wants all rows to have the same number of bulbs. The greatest number of bulbs he can plant in each row is
4. ### math

TWO PARTS: 1)Derrick's garden is 18 1/2 feet long. He plants bulbs 3/8 of a foot apart. How many bulbs can Derrick plant in one row? 2)Derrick plants three rows of bulbs that cost \$0.79 each. How much does he spend on bulbs? Thank

Mirette wants to plant bulbs in patterned rows in her garden. Each row will have 12 plants alternating in this pattern: red tulip, yellow tulip, yellow tulip, white tulip. If she plants 8 rows, how many bulbs of each color will
6. ### math

Mirette wants to plant bulbs in patterned rows in her garden. Each row will have 12 plants alternating in this pattern: red tulip, yellow tulip, yellow tulip, white tulip. If she plants 8 rows, how many bulbs of each color will
7. ### Math

If Angel plants the same number of pepper plant in each of 5 rows, he will have none left over. If he plants one in the first row and them one more in each row that he did in the previous row, he will plant peppers in only 4 rows
8. ### Math

Ray wanted to put his tomato plants in rows with the same numbers of plants in each row. He knew that if he planted 5,6, or 7 rows of tomatoes, he would have at least one plant left over. However, his plants could be placed evenly
9. ### math

need help with a homework please explain how to get answer to ms hernandez has 17 tomato plants that she want to plant in rows. she will put 2 plants in some rows and 1 plant in the others. how many different ways can she plant
10. ### Math

Ms. Hernandez has 17 tomato plants that she wants to plant in rows. She will put 1 plant in some rows and 2 plants in the others. How many different ways can she plant the tomato plants? Make a table to solve.

More Similar Questions