Fred had 48 flowers.
Ethyl had 84 flowers.
Further explanation
Simultaneous Linear Equations could be solved by using several methods such as :
If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.
Let us tackle the problem!
Let :
Number of Fred's Flowers = f
Number of Ethyl's Flowers = e
Fred and ethyl had 132 flowers altogether at first.
\(f + e = 132\)
\(f = 132 - e\) → Equation 1
After Fred sold 1/4 of his flowers and Ethyl sold 48 of her flowers, they had the same number of flowers left.
\(f - \frac{1}{4}f = e - 48\)
\(\frac{3}{4}f = e - 48\)
\(\frac{3}{4}(132 - e) = e - 48\) ← Equation 1
\(\frac{3}{4}(132) - \frac{3}{4}e = e - 48\)
\(99 + 48 = \frac{3}{4}e + e\)
\(147 = \frac{7}{4}e\)
\(e = 147 \div \frac{7}{4}\)
\(e = \boxed{84}\)
\(f = 132 - e\)
\(f = 132 - 84\)
\(f = \boxed {48}\)
Learn more
- Perimeter of Rectangle : https://brainly.com/question/12826246
- Elimination Method : https://brainly.com/question/11233927
- Sum of The Ages : https://brainly.com/question/11240586
Answer details
Grade: High School
Subject: Mathematics
Chapter: Simultaneous Linear Equations
Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations
