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My name is Ann [436]
2 years ago
9

3 teas and 2 coffees have a total cost of £7.80.

Mathematics
1 answer:
jasenka [17]2 years ago
5 0

Answer:

coffee is £1.80 per cup and tea is £1.40 per cup

Step by Step:

The question can be written algebraically, as:(a) 3t + 2c = 7.80(b) 5t + 4c = 14.20To work out the individual costs, we need to make one of the sets of variables equal. We can do this by multiplying the equation (a), giving (c):(a) 6t + 4c = 15.60(c) 5t + 4c = 14.20We can then subtract (c) from (a), giving:t = 1.40T can then be substituted into the initial equation (a), to work out the value of c:(3 x 1.40) +2c = 7.804.20 +2c = 7.802c = 3.60c = 1.80Finally we can check these values by substituting into (b):(5 x 1.40) + (4 x 1.80) = 7 + 7.2 = 14.20Then make sure to show your answers clearly, with units:coffee is £1.80 per cup and tea is £1.40 per cup

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You have decided to purchase a car for $19,000. The credit union requires a 10% down payment and will finance the balance with a
Lady_Fox [76]
<h2>○=> <u>Correct option</u> :</h2>

\color{plum} \bold{ \tt \:  \bold{C.  \$20,652.00}}

<h3>○=> <u>Steps to derive correct option</u> :</h3>

Selling price of a car = $19,000

Percentage of sales tax in the city = 8.3%

Sales tax :

= \tt  \frac{8.3}{10 \times 100}  \times 1900

= \tt  \frac{8.3 \times 19000}{1000}

= \tt  \frac{1577000}{1000}

\color{plum} = \tt  \$1577

Thus, the sales tax on the car = $1577

Cost of license and title = $75

Total price of car :

= Cost price of car + Sales tax + cost of license/title

=  \tt19000 + 1577 + 75

\color{plum} = \tt  \$20652

Thus, the total purchase price of the car = $20,652.00

Therefore, the correct option is <em>(C) $20,652.00</em>

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