Question

Bob and Sarah each cut their sub sandwich into fifths. They each ate about half of their sandwich, but ate a different number of pieces. How many pieces of their sandwich did each person eat?

111

likes
555 views

Answer to a math question Bob and Sarah each cut their sub sandwich into fifths. They each ate about half of their sandwich, but ate a different number of pieces. How many pieces of their sandwich did each person eat?

Expert avatar
Rasheed
4.7
110 Answers
Let's assume Bob ate x pieces of the sandwich and Sarah ate y pieces of the sandwich.

Since they each cut their sandwich into fifths, and each ate about half of their sandwich:

Bob ate \frac{1}{2} \times 5 = \frac{5}{2} = 2.5 pieces of the sandwich.

Sarah ate \frac{1}{2} \times 5 = \frac{5}{2} = 2.5 pieces of the sandwich.

Since they ate a different number of pieces, we know that x and y are different. The only two possibilities are:

Bob ate 2 pieces and Sarah ate 3 pieces

OR

Bob ate 3 pieces and Sarah ate 2 pieces.

So, Bob ate 2 pieces and Sarah ate 3 pieces (x = 2 \text{ and } y = 3) , or vice versa.

Answer:

\boxed{\text{Bob ate 2 pieces and Sarah ate 3 pieces, or vice versa}}

Frequently asked questions (FAQs)
What rule states that if the corresponding sides of two triangles are equal in length, and the corresponding angles are equal, then the triangles are congruent?
+
Find the value of x if f(x) = 10^x - e^x, given that the function satisfies the characteristics of an exponential function.
+
What is the maximum and minimum value of the quadratic function f(x) = -2x^2 + 4x + 3 for x ∈ ℝ? (
+
New questions in Mathematics
A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.
A software company incurs a cost of $50 per license sold plus $5,000 in fixed costs. How many licenses should you sell to minimize total costs?
A normally distributed population has a mean of 118 with a standard deviation of 18. What score separates the lowest 72% of the distribution from the rest of the scores?
90 divided by 40
Let I ⊂ R be a bounded and nonempty interval. Show that there are numbers a, b ∈ R with a ≤ b and I =[a,b] or I =[a,b) or I =(a,b] or I =(a,b)
Suppose X has a Poisson distribution, with a mean of 0.4. Determine the probability that x is at most 2.
Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.
Perpetual annuities are a series of payments whose duration has no end. Explain how can we calculate them, if they have no end?
41/39 - 1/38
The equation of the straight line that passes through the coordinate point (2,5) and is parallel to the straight line with equation x 2y 9 = 0 is
What is 28 marks out of 56 as a percentage
Express the trigonometric form of the complex z = -1 + i.
17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
A 20-year old hopes to retire by age 65. To help with future expenses, they invest $6 500 today at an interest rate of 6.4% compounded annually. At age 65, what is the difference between the exact accumulated value and the approximate accumulated value (using the Rule of 72)?
The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.
4m - 3t + 7 = 16
For how long does the principal amount of €7,537 bring the same interest as the principal amount of €12,345 invested for 8 months? Interest calculation is simple and decursive.
-1/3x+15=18
Let A denote the set of all people who were alive in 2010. Let B denote the set of all real numbers. Let f assign, to each person in A, their weight during the year 2010. Is f a function? Explain in complete sentences.
f(x)= 9-x^2 find (f(x+h)-f(x) )/h