Which congruence theorem can be used to prove △ABC ≅ △DBC?
1 answer:
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Answer:
The quantity of dried fruit of $ 3 per pound is 30 pounds
The quantity of dried fruit of $ 3.80 per pound is 50 pounds .
Step-by-step explanation:
Given as :
The price of one dried fruit = $ 3.00 per pound
The price of other dried fruit = $ 3.80 per pound
The total quantity of mix dried fruit = 80 pounds
The price of sell for mix dried fruit = $ 3.50 per pound
Let The quantity of dried fruit of $ 3 per pound = x pounds
And The quantity of dried fruit of $ 3.80 per pound = y pounds
Now , According to question
x + y = 80 pounds
And 3 × x + 3.8 × y = 3.5 × ( x + y )
Or, 3 x + 3.8 y = 3.5 x + 3.5 y
Or, 3.8 y - 3.5 y = 3.5 x - 3 x
or, 0.3 y = 0.5 x
Or, y = x
I.e y = x
Put the value of y in x + y = 80 pounds
I.e x = 80 - y
Or, x = 80 - x
Or, x + x = 80
or, x = 80
Or, x = 80
∴ x =
I.e x = 30
So,The quantity of dried fruit of $ 3 per pound = x = 30 pounds
Now, y = 80 - x
∴ y = 80 - 30
I.e y = 50
So,The quantity of dried fruit of $ 3.80 per pound = y = 50 pounds
Hence The quantity of dried fruit of $ 3 per pound is 30 pounds
And The quantity of dried fruit of $ 3.80 per pound is 50 pounds . Answer