SOLUTION: Armand buys a total of 410 shares of two stocks (BPI and BDO). The price of the BPI stock is 27 pesos per share, while the price of the BDO stock is 33 pesos per share. Armand inve
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-> SOLUTION: Armand buys a total of 410 shares of two stocks (BPI and BDO). The price of the BPI stock is 27 pesos per share, while the price of the BDO stock is 33 pesos per share. Armand inve
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Question 1102487: Armand buys a total of 410 shares of two stocks (BPI and BDO). The price of the BPI stock is 27 pesos per share, while the price of the BDO stock is 33 pesos per share. Armand invested 12288 pesos in total. How many shares of BPI did he buy? How many shares of BDO did he buy? Answer by ikleyn(52879) (Show Source):
Let x = the number of BPI shares (now unknown).
Then the number of BDO shares is (410-x), which is totally and absolutely clear.
x BPI shares cost 27*x pesos.
(410-x) BDO shares cost 33*(410-x) pesos.
In all, Armand spent 27x + 33*(410-x) pesos, isn't it ?
It is exactly 12288 pesos, which gives you an equation
27x + 33*(410-x) = 12288.
Now simplify and solve it:
27x + 33*410 - 33x = 12288,
-6x = 12288 - 33*410 = -1242 ====> x = = 207.
Answer. Armand bought 207 BPI shares and 410-207 = 203 BDO shares.
Check. 27*207 + 33*(410-207) = 12288. ! Correct !
