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 result:

M =  5.75 ft

Solution:

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

Try another example

Showing 0 comments:

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?
• 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?
• 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.
• Equivalent fractions 2
  Write the equivalent multiplication expression. 2 1/6÷3/4
• Divide 11
  Divide the product of 4 and 5/8 by 1 1/2. Write your answer as a mixed number.
• Jewelry box
  The bottom of Zeyda's jewelry box is a rectangle with the length of 5 3/8 inches and a width of 3 1/4 inches. What is the area of the bottom of the jewelry box?
• Adding mixed numerals
  3 3/4 + 2 3/5 + 5 1/2 Show your solution.
• Pizzas
  Billy ate 1 1/4 pizzas and John ate 1 2/3 pizzas. How much more pizza did John eat than Billy?
• Between two mixed
  What is the rational number between 2 1/4 and 2 4/5?
• Numbers division
  With what number should be divided mixed number 2 3/4 to get 11/12?
• Difference mixed fractions
  What is the difference between 4 2/3 and 3 1/6?
• Running
  Joanne ran 8 1/2 Kyleigh 1 2/3 and John 6 3/4 miles in one day. How many miles did the girls run in 3 days?
• Simplify 3
  Simplify mixed numerals expression: 8 1/4- 3 2/5 - (2 1/3 - 1/4) Show your solution.
• Addition of mixed numerals
  Add two mixed fractions: 2 4/6 + 1 3/6
• Ingrid
  Ingrid watched television for 2 1/4 hours and Devon watched for 3 2/3 hours. For how many hours did they watch television in total?
• Quotient 3
  If the quotient of 8/13 and 2 is subtracted from the product of 1 3/4 and 8/21, what is the difference?
• Equation
  Solve equation and check the result: 1.4x - 3/2 + x - 9,8 = x + 0,4/3 - 7 + 1,6/6