Chapter 8.1, Problem 27IP

To determine

An equation and how many strawberries Rashid could pick in 1 hour

Answer to Problem 27IP

The equation as $\frac{5}{6}x=420$

The number of strawberries Rashid picked in 1 hour is $x=504$ .

Explanation of Solution

Given:

Rashid picked a total of 420 strawberries in $\frac{5}{6}hour$

Concept Used:

• To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
• To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
• To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
• To get rid of a number in division from one side, multiply the same number both sides of equal sign.

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to find the equation here Rashid picked a total of strawberries in $\frac{5}{6}hour$ . Let x strawberries Rashid could pick in 1 hour

Rashid picked total strawberries is $420$

Hour he takes is $\frac{5}{6}hour$

Thus, we can write an equation as $\frac{5}{6}x=420$

Then find the value of x as below:

  $\begin{array}{c}\frac{5}{6}x=420\\ \frac{5}{6}x\times 6=420\times 6\\ 5x=2520\\ \frac{5x}{x}=\frac{2520}{5}\\ x=504\end{array}$

Thus, the number of strawberries Rashid picked in 1 hour is $x=504$ .