A fruitshake costs R2,00 more than a chocolate milkshake. If 3 fruit shakes and 5 chocolate milkshakes cost R78,00, determine the individual prices.
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refer to the attachment
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The individual prices of fruit shake and chocolate milk shake are Rs. 1100 and Rs. 900 respectively.
Step-by-step explanation:
Let the price of fruit shake be Rs. x.
And the price of chocolate milkshake be Rs. y.
From the first condition,
x = y + 200 - - - - ( 1 )
From the second condition,
3x + 5y = 7800
⇒ 3 ( y + 200 ) + 5y = 7800
⇒ 3y + 600 + 5y = 7800
⇒ 3y + 5y = 7800 - 600
⇒ 8y = 7200
⇒ y = 7200 ÷ 8
⇒ y = Rs. 900
By substituting y = 900 in equation ( 1 ), we get,
x = y + 200 - - - - ( 1 )
⇒ x = 900 + 200
⇒ x = Rs. 1100
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