Answer: She purchased 8 sports drinks,
Step-by-step explanation:
Let be "d" the number of sports drinks that April purchased and "p" the number of slices of pizza that April purchased.
Set up a System of equations:
[tex]\left \{ {{d=p+3} \atop {2.25p+1.25d=21.25}} \right.[/tex]
In order to solve the System of equations you can use the Substitution Method:
1. Solve for "p" from the first equation:
[tex]d=p+3\\\\p=d-3[/tex]
2. Substitute it into the second equation:
[tex]2.25(d-3)+1.25d=21.25[/tex]
3. Finally, you must solve for "d" in order to find its value. You get that this is:
[tex]2.25(d-3)+1.25d=21.25\\\\2.25d-6.75+1.25d=21.25\\\\3.5d=21.25+6.75\\\\d=\frac{28}{3.5} \\\\d=8[/tex]
