Max vs Sharon

Max is 1 1/2 times as tall as Sharon. Alan is 4 1/3 feet tall. If Alan is 6 inches taller than Sharon, how tall is Max?

Correct answer:

M =  5.75 ft

Step-by-step explanation:

$$\begin{gathered} A=4{\displaystyle \frac{1}{3}}=4+{\displaystyle \frac{1}{3}}={\displaystyle \frac{4\cdot 3+1}{3}}={\displaystyle \frac{13}{3}}\doteq 4.3333\text{ ft } \\ a=6\text{ inch}\to \text{ ft}=6\mathrm{/}12\text{ ft}=0.5\text{ ft } \\ S=A-a=4.3333-0.5={\displaystyle \frac{23}{6}}\doteq 3.8333\text{ ft } \\ m=1{\displaystyle \frac{1}{2}}=1+{\displaystyle \frac{1}{2}}={\displaystyle \frac{1\cdot 2+1}{2}}={\displaystyle \frac{3}{2}}=1.5 \\ M=m\cdot S=1.5\cdot 3.8333={\displaystyle \frac{23}{4}}\text{ ft}=5\frac{3}{4}\text{ ft}=5.75\text{ ft} \end{gathered}$$

Try another example

Related math problems and questions:

• Timothy
  Timothy is 56 4/5 inches tall. Theresa is 1 1/6 inches shorter than Timothy and Jane is 1 1/3 inches shorter than Theresa. How tall is Jane?
• Thomas 2
  Thomas is 56 3/4 inches tall. Jillian is 1 3/8 inches shorter than Thomas and Jane is 1 1/5 inches shorter than Jillian. How tall is Jane? Label the names on the tape diagram to represent this problem. Jane Jillian Thomas Excellent!
• Tallest and shortest
  Jenn is the tallest on the team. He is 1 1/2 times as tall as the shortest girl whom is 4 1/4 feet tall. How tall is Jebb?
• Evaluate mixed expressions
  Which of the following is equal to 4 and 2 over 3 divided by 3 and 1 over 2? A. 4 and 2 over 3 times 3 and 2 over 1 B. 14 over 3 times 2 over 7 C. 14 over 3 times 7 over 2 D. 42 over 3 times 2 over 31
• Fractions and mixed numerals
  (a) Convert the following mixed numbers to improper fractions. i. 3 5/8 ii. 7 7/6 (b) Convert the following improper fraction to a mixed number. i. 13/4 ii. 78/5 (c) Simplify these fractions to their lowest terms. i. 36/42 ii. 27/45 2. evaluate the follow
• Martin
  Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood. He uses 2 3/4 feet for the hull and 1 1/4 feet for a paddle. How much wood does he have left? Martin has feet of wood left.
• Alexandra
  Alexandra made a rectangular quilt the measured 3 1/4. 2 3/4 feet in width. What is the area of the quilt in square feet? Write an equation to solve.
• A large 2
  A large popcorn bag holds four times as much as a small popcorn bag at the end of the party 3 1/3 small bags and 2 1/4 large bags left. How many small bags with the leftover popcorn fill?
• Juila
  Juila has a rectangular table that is 3 1/2 feet long and 1 3/4 feet wide. What is the area of Juila's table?
• Divide 11
  Divide the product of 4 and 5/8 by 1 1/2. Write your answer as a mixed number.
• A triangle 2
  A triangle has a base of 2 inches and a height of 2 3/4 inches. What is the area of the triangle?
• A turtle
  A turtle is 20 5/6 inches below the surface of a pond. It dives to a depth of 32 1/4 inches. What is the change in the turtle’s position? Write your answer as a mixed number.
• Simplify 7
  Simplify. 7-1/3÷ 3-2/3 of 2+ 4-1/2÷ 2-1/4+ 1/2 solution and by step by step
• Walk for exercise
  Anya, Jose, Cali, and Stephan walk for exercise. Anya's route is 2 1/4 kilometers long. Jose's route is 1 1/2 fewer km. Cali's route is 1 1/2  times as long as Jose's route, and 2 fewer km than Stephan's route. What distance (S) is Stephan's route?
• A box 2
  A box has a length of 4 1/2 inches, a width of 3 2/3 inches and a height of 8 1/4 inches. What is the volume of the box?
• A rectangle 6
  A rectangle measures 2 4/5 inches by 2 1/5 inches. What is its area?
• Gift box
  A gift box has dimensions of: 8 1/2 inches, 5 1/2 inches, and 2 1/2 inches, respectively. How many cubes with side lengths of 1/2 inches would be needed to fill the gift box?