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Given:
Flights: 4 points per dollar
Hotels: 2 points per dollar
Other: 1 point per dollar.
Total spent = $9,480
Points earned = 14,660
Let
x = money spent on flights
y = money spent on hotels
z = money spent on other purchases.
Because the money spent on flights was $140 more than twice the money spent on hotels, therefore
x = 2y + 140 (1)
Total charges were $9,480, therefore
x + y + z = 9480 (2)
Total points earned was 14,660. Therefore
4x + 2y + z = 14660 (3)
Subtract (2) from (3).
4x + 2y + z - (x + y + z) = 14660 - 9480
3x + y = 5180 (4)
Substitute (1) into (4).
3(2y + 140) + y = 5180
7y + 420 = 5180
7y = 4760
y = 680
From (1), obtain
x = 2y + 140 = 2*680 + 140 = 1500
From (2), obtain
z = 9480 - (x + y) = 9480 - (1500 + 680) = 7300
Answer:
$1,500 was spent on flights,
$680 was spent on hotels,
$7,300 was spent on other purchases.
Answer:
1. x + y = 180
2. x = 50 y= 130
Step-by-step explanation:
They're parallel.
We can label the unamed angle z.
So z = y
and 50 = x
There's 360 degrees in a circle, so x + y= 180 because it's half 360 and half a circle.
x=50
so 50 + 50 = 100.
360 - 100 = 260
so 260 ÷ 2 = 130
y = 130 because y and z are equal so they're the same number
Answer:
Cost of 1 goggles = $20
Cost of 1 mask = 15
Step-by-step explanation:
Given:
Cost of 2 goggles and 1 mask = $55
Cost of 1 goggles and 2 mask = $50
Find:
Cost of each goggles and mask
Computation:
Assume;
Cost of 1 goggles = a
Cost of 1 mask = b
So,
2a + b = 55.....EQ1
a + 2b = 50.......EQ2
EQ1 x 2
4a + 2b = 110 ......EQ3
EQ3 - EQ2
3a = 60
a = 20
Cost of 1 goggles = $20
a + 2a = 50
20 + 2b = 50
2b = 30
b = 15
Cost of 1 mask = 15
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