# The table shows the amount that each person spend on snacks, games, and souvenirs the las time they went to the carnival. Sinea- snacks $5/ games$8/ souvenirs $12 Ren- snacks$10/ games $8/ souvenirs$20 A. Siena wants to spend money using the same ratios as on her last trip to the carnival. If she spends $26 on games, how much will she spend on souvenirs? B. Ren wants to spend money using the same ratios as on his last trip to the carnival. If he spends$5 on souvenirs, how much will he spend on snacks?

Let x-------> money spent in snacksy-------> money spent in gamesz-------> money spent in souvenirswe know thatSiena's ratios$$\frac{x}{y} =\frac{5}{8} \\\\ \frac{x}{z}= \frac{5}{12} \\ \\ \frac{y}{z} =\frac{8}{12}$$Ren's ratios$$\frac{x}{y} =\frac{10}{8} \\\\ \frac{x}{z}= \frac{10}{20} \\ \\ \frac{y}{z} =\frac{8}{20}$$Part A) A. Siena wants to spend money using the same ratios as on her last trip to the carnival. If she spends $$$26$$ on games, how much will she spend on souvenirs?So$$\frac{y}{z} =\frac{8}{12} \\ \\ 12y=8z\\ \\ z=\frac{12}{8} y$$$$y=26$$-----> money spent in gamessubstitute the value of y $$z=\frac{12}{8} y\\ \\ z=\frac{12}{8} *26\\ \\ z=39$$thereforethe answer Part A) is Siena spend on souvenirs$$$39$$Part B) Ren wants to spend money using the same ratios as on his last trip to the carnival. If he spends $$$5$$ on souvenirs, how much will he spend on snacks?$$\frac{x}{z} =\frac{10}{20} \\ \\ 20x=10z\\ \\ x=\frac{1}{2} *z$$$$z=5$$ ----> money spent in souvenirsSubstitute the value of z$$x=\frac{1}{2} *z\\ \\ x=\frac{1}{2} *5\\ \\ x=2.5$$thereforethe answer part B) isRen spend on snacks$$$2.5$$