1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sholpan [36]
3 years ago
10

Mr .Baker has baked some muffins. If he packs them in boxes of 4, he will have 3 left over. If he packs them in boxes of 5, he w

ill also have 3 left over.If he packs them in boxes of 6, he will only have 1 left over. Find the least possible number of muffins Mr. Baker has baked.
Mathematics
1 answer:
babunello [35]3 years ago
6 0

Answer:

\boxed{43}

Step-by-step explanation:

I think the easiest way to solve this problem is by brute force: trial and error.

We must find numbers that when divided by  

  • 4 leave 3 (4n + 3)
  • 5 leave 3 (5n + 3)
  • 6 leave 1  (6n + 1)

Here is a list of multiples of the integer n that satisfy the three conditions. \begin{array}{c|ccc}\mathbf{n} & \mathbf{4n+ 3} & \mathbf{5n + 3} & \mathbf{6n + 1}\\1 & 7 & 8 & 7\\2 & 11 & 13 & 13\\3 & 15 & 18 & 19\\4 & 19 & 23 & 25\\5 & 23 & 28 & 31\\6 & 27 & 33 & 37\\7 & 31 & 38 & \mathbf{43}\\8 & 35 & \mathbf{43} & 49\\9 & 39 & 48 & 55\\10 & \mathbf{43} & 53 & 61\\\end{array}\\\text{The only number that is common to all three lists is $\mathbf{43}$.}\\\text{The smallest possible number of muffins Mr. Baker could have baked is $\boxed{\mathbf{43}}$.}

Check:

43 \div 4 = 10R3\\43 \div5 = 8R3\\43 \div 6 = 7R1

OK .

You might be interested in
Draw an area model. then solve using the standard algorithm. use arrows to match the partial products from your area model to th
11111nata11111 [884]
The answer to your question of what is 273 times 346 is 94,458
4 0
3 years ago
Read 2 more answers
Can someone please help me with this one? Tysm! ^^
lana [24]
2/3 x 3/4 =6/12=1/2
(Multiply numerators, multiply denominators, simplify)
4 0
2 years ago
When factored completely, the expression p^4-81 is equivalent to what?
Mice21 [21]
Differnce of 2 pefect squares
a^2-b^2=(a-b)(a+b)
(p^2)^2-9^2=(p^2-9)(p^2+9)

p^2-9=(p-3)(p+3)

factored is
(p-3)(p+3)(p^2+9)
4 0
3 years ago
Read 2 more answers
The cost, in dollars, of a one-day car rental is given by C(x) = 31 + 0.18x, where x is the number of miles driven. In this func
photoshop1234 [79]
Answer is B$31 is the cost per day to rent the car and $0.18 is the cost per mile<span />
8 0
3 years ago
Read 2 more answers
Solve the equation<br><br> answer: x=
Scilla [17]

Answer:

Hope the picture will help you

3 0
2 years ago
Other questions:
  • What is the slope of the line?<br><br> a.-2<br><br> b.-1/2<br><br> c.1/2<br><br> d.2
    11·2 answers
  • When an identity is stolen, how is the crime often discovered?
    6·2 answers
  • Select the point that is a solution to system of inequalities
    10·2 answers
  • the perimeter of a field has a perimeter of 270 feet and the length is 35 feet longer than the width. Write and graph the system
    12·1 answer
  • F(X)=X^3 + 4 X^2-10=0 (between X=1 , X=2) بطريقه ال Bisection method<br><br>please fast​
    10·1 answer
  • PLZ HELP!!!! WILL MARK BRAINLYIST!!!!
    12·1 answer
  • HELP ME I NEED THIS RN
    10·1 answer
  • (GEOMETRY) 30pts<br> Which triangles area can be calculated using the trigonometric area formula
    11·1 answer
  • ME HAS CONFUSION PWEASE HELP
    11·2 answers
  • A sequence has three terms.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!