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This is a rule to find the time, in minutes, needed to roast lamb - OCR - GCSE Maths - Question 9 - 2017 - Paper 1

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This is a rule to find the time, in minutes, needed to roast lamb. weight, in pounds × 30 + 20 time, in minutes (a) Use the rule to work out the time needed to ... show full transcript

Worked Solution & Example Answer:This is a rule to find the time, in minutes, needed to roast lamb - OCR - GCSE Maths - Question 9 - 2017 - Paper 1

Step 1

Use the rule to work out the time needed to roast a piece of lamb which weighs 4 pounds.

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Answer

To find the time needed to roast 4 pounds of lamb, we use the formula provided:

extTime=(extWeightimes30)+20 ext{Time} = ( ext{Weight} imes 30) + 20

Substituting the weight:

extTime=(4imes30)+20=120+20=140extminutes ext{Time} = (4 imes 30) + 20 = 120 + 20 = 140 ext{ minutes}

Therefore, the time needed is 140 minutes.

Step 2

Use the rule to work out the weight of this piece of lamb.

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Answer

Given that a different piece of lamb takes 95 minutes to roast, we can rearrange the formula to find the weight:

extTime=(extWeightimes30)+20 ext{Time} = ( ext{Weight} imes 30) + 20

Setting the time to 95 minutes:

95=(extWeightimes30)+2095 = ( ext{Weight} imes 30) + 20

Subtracting 20 from both sides:

75=extWeightimes3075 = ext{Weight} imes 30

Dividing both sides by 30:

ext{Weight} = rac{75}{30} = 2.5 ext{ pounds}

Thus, the weight of this piece of lamb is 2.5 pounds.

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