Answer :
A. First develop your ratio:
[tex] \frac{x}{14} = \frac{8.70}{19.46} [/tex]
where [tex]x[/tex] is the amount of gas needed.
Divide the amount charged for [tex]x[/tex] amount of gas by 19.46, then multiply that amount by 14 to get the amount of gas bought: [tex] \frac{6.26}{14} = \frac{8.70}{19.46} [/tex]
B. Again, develop your ratio:
[tex] \frac{9.5}{14} = \frac{x}{19.46} [/tex]
and use the same procedure.
Divide 9.5 by 14, then multiply your answer by 19.46 to get:
[tex]\frac{9.5}{14} = \frac{13.21}{19.46}[/tex]
[tex] \frac{x}{14} = \frac{8.70}{19.46} [/tex]
where [tex]x[/tex] is the amount of gas needed.
Divide the amount charged for [tex]x[/tex] amount of gas by 19.46, then multiply that amount by 14 to get the amount of gas bought: [tex] \frac{6.26}{14} = \frac{8.70}{19.46} [/tex]
B. Again, develop your ratio:
[tex] \frac{9.5}{14} = \frac{x}{19.46} [/tex]
and use the same procedure.
Divide 9.5 by 14, then multiply your answer by 19.46 to get:
[tex]\frac{9.5}{14} = \frac{13.21}{19.46}[/tex]
[tex]a) 14:19.46 \$ = x :8.70 \$ \\ \\ x=\frac{14*8.70}{19.46}= \frac{121.8}{19.46} \\ \\ \boxed{x=6.258} \\ \\ b)14:19.46 \$= 9.5:x \\ \\ x=\frac{19.46*9.5}{14}= \frac{184.87}{14} \\ \\ \boxed{x=13.205}[/tex]
