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A lady bought plates and bowls, 24 items in all. the price of each bowl was 60 cents; the price of each plate was 75 cents. the cost of the whole purchase was $15. how many plates did the lady buy?

Verified Answer :

wolf1728
Ap + b = 24
B) .75 + .60b = 15
Multiplying equation A) by -.60
A) -.60p + -.60b = -14.4  Then adding this to B
B) .75 + .60b = 15
.15p = .60
plates = 4
bowls = 20


JeanaShupp

Answer: 4

Step-by-step explanation:

Let x be the number of plates and y be the number of bowls.

then , According to the question, we have

\(x+y=24.................(1)\\\\0.75x+0.6y=15.......................(2)\)

From (1), \(y=24-x\)

Substitute the value of y in (2), we get

\(0.75x+0.6(24-x)=15\\\\\Rightarrow0.75x+14.4-0.6x=15\\\\\Rightarrow\ 0.15x=15-14.4\\\\\Rightarrow\ 0.15x=0.6\\\\\Rightarrow\ x=4\)

Hence, the number of plates the lady bought = 4

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