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 Click on the appropriate oval to pick an
answer, then click Continue.
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A poster shop sold a total of fifty prints by Picasso and Kandinsky for a total of $655.
Kandinsky prints cost $12.50 and Picasso prints cost $15.
How much did the poster shop make from the Picasso prints?
 $150
 $180
$215
$475
$570
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The challenge in this question is to translate the
English into algebra when the information is mixed up. But a little logic will clear things up.
Let k = the number of Kandinsky prints sold and p = the
number of Picasso prints sold. We’re told that fifty of these are
sold altogether — that indicates addition, so:
p + k = 50
What’s more, we know how much each print costs, and
the total price of all of the prints sold. So, since the (price of one
Kandinsky) times (number of Kandinsky prints) plus (price of one Picasso)
times (number of Picasso prints sold) must equal (total price of all prints
sold), we can create a second equation:
15p + 12.5k = 655
You will be expected to make reasonable assumptions like this on the test.
Since the first equation is pretty simple, let’s use
substitution:
p + k = 50
k = 50 – p
Substituting into the second equation:
15p + 12.5k = 655
15p + 12.5(50 – p) = 655
15p + 625 – 12.5p = 655
625 + 2.5p = 655
2.5p = 30
p = 12
So 12 Picasso prints were sold. Multiply the number
of prints by the cost of a single print to get the final answer:
(12)(15) = $180
Thus, the second choice is the answer.
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