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QuestionA pasta meal costs \$8.95 at a restaurant, and a copycat version costs \$4.75. Find the differences and percentages.
1. The copycat meal costs \lessthantherestaurantmeal.<br/>2.Therestaurantmealcosts less than the restaurant meal.<br />2. The restaurant meal costs \frac{8.95}{4.75} timesasmuchasthecopycatmeal.Roundtotwodecimalplaces.<br/>3.Thecostofthecopycatmealis times as much as the copycat meal. Round to two decimal places.<br />3. The cost of the copycat meal is \left( \frac{4.75}{8.95} \times 100 \right) \% $ of the restaurant meal. Round to the nearest whole percent.

Studdy Solution

STEP 1

Assumptions1. The cost of the restaurant meal is 8.95.Thecostofthecopycatmealis8.95. The cost of the copycat meal is 4.75

STEP 2

First, we need to find the difference in cost between the restaurant meal and the copycat meal. We can do this by subtracting the cost of the copycat meal from the cost of the restaurant meal.
Difference=Cost of restaurant meal−Cost of copycat mealDifference = Cost\, of\, restaurant\, meal - Cost\, of\, copycat\, meal

STEP 3

Now, plug in the given values for the cost of the restaurant meal and the cost of the copycat meal to calculate the difference.
Difference=$8.95−$.75Difference = \$8.95 - \$.75

STEP 4

Calculate the difference in cost.
Difference=$8.95−$4.75=$4.2Difference = \$8.95 - \$4.75 = \$4.2The copycat meal costs $4.2 less than the restaurant meal.

STEP 5

Next, we need to find how many times the restaurant meal costs as much as the copycat meal. We can do this by dividing the cost of the restaurant meal by the cost of the copycat meal.
Times=Cost of restaurant meal/Cost of copycat mealTimes = Cost\, of\, restaurant\, meal / Cost\, of\, copycat\, meal

STEP 6

Now, plug in the given values for the cost of the restaurant meal and the cost of the copycat meal to calculate the times.
Times=$8.95/$4.75Times = \$8.95 / \$4.75

STEP 7

Calculate the times and round to two decimal places.
Times=$.95/$4.75=1.88Times = \$.95 / \$4.75 =1.88The restaurant meal costs1.88 times as much as the copycat meal.

STEP 8

Finally, we need to find the cost of the copycat meal as a percentage of the cost of the restaurant meal. We can do this by dividing the cost of the copycat meal by the cost of the restaurant meal and then multiplying by100.
Percentage=(Cost of copycat meal/Cost of restaurant meal)times100Percentage = (Cost\, of\, copycat\, meal / Cost\, of\, restaurant\, meal) \\times100

STEP 9

Now, plug in the given values for the cost of the copycat meal and the cost of the restaurant meal to calculate the percentage.
Percentage=($4.75/$8.95)times100Percentage = (\$4.75 / \$8.95) \\times100

STEP 10

Calculate the percentage and round to the nearest whole percent.
Percentage=($4.75/$8.95)times100=53%Percentage = (\$4.75 / \$8.95) \\times100 =53\%The cost of the copycat meal is53% of the cost of the restaurant meal.

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