Answered

IDNLearn.com offers a unique blend of expert answers and community-driven knowledge. Our community provides accurate and timely answers to help you understand and solve any issue.

The cost of 14 gallons of gas is $19.46

a. How much gas could you buy with $8.70? use equivalent ratios to solve.

b. How much would it cost to buy 9.5 gallons? use equivalent ratios to solve.

Sagot :

Wazzupdrewfusidn
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]
Mariamikaylaidn
[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]
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.