Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A 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.
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
