Jenna has $43 and Heidi has $17.
Step-by-step explanation:
Total amount = $60
Let,
Amount of Jenna = x
Amount of Heidi = y
According to given statement;
x+y=60 Eqn 1
x=2y+9 Eqn 2
Putting value of Eqn 2 in Eqn 1;
[tex](2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51[/tex]
Dividing both sides by 3,
[tex]\frac{3y}{3}=\frac{51}{3}\\y=17\\[/tex]
Putting y=17 in Eqn 2
[tex]x=2(17)+9\\x=34+9\\x=43[/tex]
Jenna has $43 and Heidi has $17.
Keywords: linear equations, substitution method
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