posted by .

Calvin and Ken bought a bag of 60 onions. They divide all of these onions between them, such that the number of onions that Ken has is a multiple of the number of onions that Calvin has. Given that Calvin has at least 7 onions, what is the maximum number of onions that Ken has?

  • math -

    the factors of 60 are 2,3,4,6,10,15,20,30

    so, if Calvin has c onions (c >= 7),

    c must be a factor of 60, since c and some multiple of c add to 60.

    The maximum for Ken means the minimum for Calvin.

    So, if Calvin has 10, then Ken has 50, the max.

    There are no other factors of 60 less than 10, but greater than 7.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Language

    are the nouns in the following sentence, toppings, pepperoni, Italian, sausage, black, olives, green, peppers, onions, mushrooms or would I leave out the colors (I think they're adjectives) She always ordered extra toppings, like pepperoni, …
  2. math

    If the ratio of onions to cilantro is 4:3 and I'm using 2/3 cup of onions, how much cilantro will I need?
  3. Algebra

    A pizza place sells five topping pizzas with the following options. Crust: Classic, Crispy Toppings: Extra cheese, pepperoni, sausage, onions, banana peppers, jalapenos, tomatoes, fresh herbs, mushrooms, black olives. What is the probability …
  4. Math

    Three Friends went to the sub shop for lunch. They ordered the 3Ft sub made with 1/4 Ham, 1/5 roast beef, 3/8 turkey. The rest of the sub is made up of lettuce, tomato, and onions. What fraction of the sub is made up of lettuce, tomato, …
  5. math

    Ann bought 2/3 lb of carrots 3/4lb of celery and 7/8lb of onions. How many lbs of vegetables did she buy?
  6. Language arts(CHECK ANSWERS)

    please check answers for my language arts. 1.which of the following sentences is punctuated correctly?
  7. math

    One weekend, there were 95 pizzas ordered for the sophomore dorm. That weekend 19 customers ordered their pizza with just pepperoni, 17 customers ordered their pizza with just sausage, 18 ordered theirs with just onions, 15 ordered …
  8. fractions

    Kevin bought a pizza that it was 2/3 onions and 2/3 mushrooms explain why this is possible
  9. math

    You need at least 5 pounds of potatoes and onions. Potatoes cost $4 per pound and onions cost $2 per pound. You can spend at most $18. a) define the variables b) a system of linear inequalities that represents this situation.
  10. math

    sharon's onions cost $2.75/200g and Arnold's Onions cost $3.00/1/4kg a) Which of the vendors is selling onions more expensive/ b) How much would 1kg of onions cost?

More Similar Questions