First, we need to find the ratio from games to souvenirs.
We know that Sinea spent $8 in games and $12 in souvenirs the last time she went to the carnival, so let's find the ratio:
[tex]\frac{games}{souvenirs} =\frac{8}{12}[/tex]
we can simplify the left side to get:
[tex]\frac{games}{souvenirs} =\frac{2}{3}[/tex]
Since Sinea wants to spend money using the same ratios and she spends $26 on games, we just need to replace that value in our ratio and solve for souvenirs
[tex]\frac{games}{souvenirs} =\frac{2}{3}[/tex]
[tex]\frac{26}{souvenirs} =\frac{2}{3}[/tex]
[tex]souvenirs=\frac{26*3}{2}[/tex]
[tex]souvenirs=39[/tex]
Answer
Sinea will spend $39 on souvenirs.
First, we need to find the ratio from souvenirs to snacks.
We know that Ren spent $20 in souvenirs and $10 in snacks the last time she went to the carnival, so let's find the ratio:
[tex]\frac{souvenirs}{snacks} =\frac{20}{10}[/tex]
[tex]\frac{souvenirs}{snacks} =\frac{2}{1}[/tex]
Since Ren wants to spend money using the same ratios and he spends $5 on souvenirs, we just need to replace that value in our ratio and solve for snacks
[tex]\frac{souvenirs}{snacks} =\frac{2}{1}[/tex]
[tex]\frac{5}{snacks} =\frac{2}{1}[/tex]
[tex]snacks=\frac{5}{2}[/tex]
[tex]snacks=2.5[/tex]
Answer
Ren will spend $2.5 on snacks.
First, we need to find the ratio from souvenirs to snacks for Sinea
[tex]\frac{souvenirs}{snacks} =\frac{12}{5}[/tex]
Now we can use the same ratio from point B for Ren and compare the two totals.
- For Sinea
[tex]\frac{souvenirs}{snacks} =\frac{12}{5}[/tex]
[tex]\frac{souvenirs}{40} =\frac{12}{5}[/tex]
[tex]souvenirs=\frac{40*12}{5}[/tex]
[tex]souvenirs=96[/tex]
Sinea will spend $96 on souvenirs
- For Ren
[tex]\frac{souvenirs}{snacks} =\frac{2}{1}[/tex]
[tex]\frac{souvenirs}{40} =\frac{2}{1}[/tex]
[tex]souvenirs=40*2[/tex]
[tex]souvenirs=80[/tex]
Ren will spend $80 on souvenirs
Answer
Siena will spend more in souvenirs; in fact, she will spend $16 more than Ren.
