Quick sell outlet sold a total of 40 televisions, each of which was either a model p television or a model q television. each mo

Question

3 years ago

15

Quick sell outlet sold a total of 40 televisions, each of which was either a model p television or a model q television. each mo

del p television sold for $p and each model q sold for $q. the average (arithmetic mean) selling price of the 40 televisions was $141. how many of the 40 televisions were model p televisions?
1) the model p televisions sold for $30 less than the model q televisions
2) either p=120 or q=120

Mathematics

2 answers:

saw5 [17] · Answer 1 · 2022-08-25T23:17:11+03:00

Answer:

The number of the television sets that is model p is 12

Step-by-step explanation:

Here we have total number of television sold = 40

The model p televisions sold for $30 less than the model q televisions

That is $P = $q - $30

Therefore

Let the quantity of the model p sold be X

Let the quantity of the model q sold be X

Therefore

x + y = 40

Total cost of the television = 40 * 141 = $5640

Therefore, 120*x + 90*y = 5640

Plugging in x = 40 - y in the above equation we get

4800 - 30y = 5640 or

y = -28 and

x = 68

If we put y = 40 - x we get

30x + 3600 = 5640

If we put

120*x + 150*y = 5640.........(3)

we get

x = 12 and y = 28

Therefore, since the model p sold for $30 less than the model q, from the solution of equation (3) the number of the television sets that is model p = 12