Matt wants to buy a television. If he pays cash, he gets a discount of 7%. If he pays with a loan he has to pay an extra 10% in
1 answer:
Answer:
Cost of Television = $294
Step-by-step explanation:
7% discount means 7/100 = 0.07 LESS
So we need to multiply by 1 - 0.07 = 0.93
Also, 10% MORE, or extra, means 10/100 = 0.10 MORE
So we need to multiply by 1 + 0.10 = 1.1
Let cost of television be "c", so we can say:
- 7% discount would mean cost to be c(0.93) = 0.93c
- 10% with interest would mean cost to be c(1.10) = 1.10c
The difference is 49.98. So we subtract lower value (0.93c) from larger value (1.10c) and equate to 49.98 and solve for c:
Cost of Television = $294
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Answer:
x = 8
y = 146
Error = 4.86%
Step-by-step explanation:
Number of business class passenger = x
and the economy class passenger = y
Total number of passengers = 154
x + y = 154 ------(1)
Cost of business class tickets and economy class tickets are €320 and €85 respectively.
Total amount received by airlines is €14970.
320x + 85y = 14970
64x + 17y = 2994 --------(2)
Multiply equation (1) by 17 and subtract from equation (2)
(64x + 17y) - (17x + 17y) = 2994 - 2618
47x = 376
x = 8
From equation (1),
8 + y = 154
y = 154 - 8
y = 146
Airline officer wrote down the amount received as €14270
Then difference from the actual amount received = 14970 - 14270
= €700
% Error =
=
= 4.676
≈ 4.68%
Therefore, x = 8 and y = 146
and % error = 4.68%