SOLUTION: during the month of January, a travel agent sold 14 moore cruises than resort cavactions. If the total amount vacations sold were 72. How many were cruises and how many were resr

Algebra ->  Equations -> SOLUTION: during the month of January, a travel agent sold 14 moore cruises than resort cavactions. If the total amount vacations sold were 72. How many were cruises and how many were resr      Log On


   

Question 678721: during the month of January, a travel agent sold 14 moore cruises than resort cavactions. If the total amount vacations sold were 72. How many were cruises and how many were resrt?
2. A coffoee shop serves 3 times as many cups of regular coffee as decaffeinated coffee. If the shop serves 372 cups of coffee a day. How many are regular and how many are decaffeinated?
3.
Answer by rm29924(97) About Me  (Show Source):
You can put this solution on YOUR website!
1. Let X = resort vacations
cruises = X+14
togehter they equal 72 so we add them
X+X+14=72
2X+14=72
subtract 14 from both sides
2X=58
divide 2 from both sides to get the variable X by itself
X=29
so we know there are 29 resort vacations
cruises = X + 14
29+14
43
answer: 29 resort vacations and 43 cruises
chk work
X+X+14=72
29+29+14=72
58+14=72
72=72

2. Let X = number of cups of decaf coffee
regular coffee = 3x
together they equal 372
3X+X=372
4X=372
divide both sides by 4
X=93
the number of cups of decaf coffee is 93
regular = 3X
3(93)
279
the number of regular cups of coffe is 279