Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
#2) 629 students and 111 faculty. #3) 1259 skiers and 2518 snowboarders.
Explanation:
#1) Let S be the number of students and F be the number of faculty. S/F = 17/3.
We know that S+F = 740; subtracting F from both sides, we have S=740-F. We can use this to rewrite the proportion:
(740-F)/F=17/3.
Cross multiply:
3(740-F)=17(F).
Using the distributive property, we have
3*740-3*F=17F; 2220-3F=17F.
Add 3F to both sides:
2220-3F+3F=17F+3F
2220=20F.
Divide both sides by 20:
2220/20 = 20F/20
111=F.
There are 111 faculty members. Substitute that into our equation, S=740-F: S=740-111
S=629.
#2) Let x be the number of skiers. We know that there were 1259 more snowboarders with passes than skiers; that gives us x+1259.
The ratio of skiers to snowboarders is 1/2; this gives us the proportion x/(x+1259)=1/2.
Cross multiply:
2(x)=1(x+1259)
2x=x+1259.
Subtract x from both sides
2x-x=x+1259-x
x=1259.
There were 1259 skiers. This means there were 1259+1259=2518 snowboarders.
Explanation:
#1) Let S be the number of students and F be the number of faculty. S/F = 17/3.
We know that S+F = 740; subtracting F from both sides, we have S=740-F. We can use this to rewrite the proportion:
(740-F)/F=17/3.
Cross multiply:
3(740-F)=17(F).
Using the distributive property, we have
3*740-3*F=17F; 2220-3F=17F.
Add 3F to both sides:
2220-3F+3F=17F+3F
2220=20F.
Divide both sides by 20:
2220/20 = 20F/20
111=F.
There are 111 faculty members. Substitute that into our equation, S=740-F: S=740-111
S=629.
#2) Let x be the number of skiers. We know that there were 1259 more snowboarders with passes than skiers; that gives us x+1259.
The ratio of skiers to snowboarders is 1/2; this gives us the proportion x/(x+1259)=1/2.
Cross multiply:
2(x)=1(x+1259)
2x=x+1259.
Subtract x from both sides
2x-x=x+1259-x
x=1259.
There were 1259 skiers. This means there were 1259+1259=2518 snowboarders.
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
