Question

A fruitshake costs R2,00 more than a chocolate milkshake. If 3 fruitshakes and 5 chocolate milkshakes cost R78,00, determine the individual prices.​

Answer 1

Answer:

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

∴ The individual prices of fruit shake and chocolate milk shake are Rs. 1100 and Rs. 900 respectively.

Answer 2

Given :-

A fruitshake costs Rs 2,00 more than a chocolate milkshake. If 3 fruitshakes and 5 chocolate milkshakes cost R78,00

To Find :-

Individual price

Solution :-

Let the cost of fruit shake be f and cost of chocolate milkshake be m

f = m + 200

3f + 5m = 7800

3(m + 200) + 5m = 7800

3m + 600 + 5m = 7800

8m + 600 = 7800

8m = 7800 - 600

8m = 7200

m = 7200/8

m = 900

Using 1

f = 900 + 200

f = 1100

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