Question 13 of 19intermediate🔧 ApplyNumerical4 marks

In a restaurant, a fruit juice costs ₹15 less than a chocolate milkshake. If 4 fruit juices and 7 chocolate milkshakes cost ₹600, find the cost of the fruit juice and milkshake.

Correct Answer

Step 1: Let fruit juice cost = jj, milkshake cost = j+15j + 15 Step 2: Set up equation: 4j+7(j+15)=6004j + 7(j + 15) = 600 Step 3: Expand: 4j+7j+105=6004j + 7j + 105 = 600 Step 4: Simplify: 11j+105=60011j + 105 = 600 Step 5: Subtract 105: 11j=49511j = 495 Step 6: Divide by 11: j=45j = 45 Step 7: Milkshake = 45+15=6045 + 15 = 60

Answer: Fruit juice costs ₹45 and chocolate milkshake costs ₹60.

Verification: 4×45+7×60=180+420=₹6004 \times 45 + 7 \times 60 = 180 + 420 = ₹600.

Exercise: Figure it Out (Section 3) | Q: 9 | (Page Page 24)
For More Understanding

Explanation

Let fruit juice cost = jj. Then milkshake cost = j+15j + 15. The equation is 4j+7(j+15)=6004j + 7(j + 15) = 600. Expanding: 4j+7j+105=6004j + 7j + 105 = 600, giving 11j=49511j = 495, so j=45j = 45. Milkshake = 45+15=6045 + 15 = 60.

Solution Steps

  1. Step 1: Let fruit juice cost = jj, milkshake cost = j+15j + 15

  2. Step 2: Set up equation: 4j+7(j+15)=6004j + 7(j + 15) = 600

  3. Step 3: Expand: 4j+7j+105=6004j + 7j + 105 = 600

  4. Step 4: Simplify: 11j+105=60011j + 105 = 600

  5. Step 5: Subtract 105: 11j=49511j = 495

  6. Step 6: Divide by 11: j=45j = 45

  7. Step 7: Milkshake = 45+15=6045 + 15 = 60

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