Math Forum Quesion; what is the price for each menu item if purchased individually?
Posted on November 23rd, 2009 by admin
Jack Sprat and his wife like to dine out at their favorite restaurant once a month. Their favorite menu items are the ballad salas platter (delivered with a song), Southern fried chicken pick’ens with green beans, and baked steak with potatoes. they always order 2 of 3 items, sharing the choices.
Two months ago they ordered the steak and chicken dish’s paying a total or $13.40 for their meal. One month later they chose the chicken and salad, paying $10.75 to the cashier. This month, they dined ont the steak and salad, which cost them $13.25.
What is the price for each item ?
** After dinner, The Sprats like to have dessert. Their favorite desserts are ice cream, apple pie, and fresh fruit. the restaurant lists the calories for each desserts, and one night the Sprats made the following observations about their favorite desserts :
- A slice of pie and fresh fruit has a total of 540 calories.
- A bowl of ice cream and the fresh fruit together have 16 fewer calories than a slice of pie.
- Two bowls of ice cream and a slice of pie totals 938 calories.
How many calories are found in each dessert?
Steak and Chcken = $13.40
Chicken and Salad = $10.75
Steak and Salad = $13.25
add the two salad choices together = $ 24.00
subtract (take away) (-) the Steak and Chicken choices = $ 13.40
the answer will give you the cost of two Salads = $ 10.60
halve the cost of 2 (divide by 2) 10.60/2 to get the cost of one Salad $5.30
subtract $ 5.30 from the cost of Chicken and Salad = $ 5.45 for Chicken
subtract $ 5.30 from the cost of Steak and Salad = $ 7.95 for Steak
The second part
Slice of Pie and Fresh Fruit = 540 calories
Ice Cream and Fresh Fruit and 16 calories = calories in 1 Slice of Pie
2 x Ice Cream and I Slice of Pie = 938 calories
Fresh Fruit = 130 calories
Ice Cream = 264 calories
Slice of Pie = 410 calories
Don’t ask me how I did it I was playing around with numbers for hours. It is all to do with balancing numbers and knowing where to add after taking away numbers. Not as easy nor as simple as the first part of this question. The most significant relationship between numbers in this "calculation" is between the Ice Cream and the Slice of Pie.
Good luck
November 23rd, 2009 at 6:12 am
For the first one, let p, c and s represent the cost of the platter, chicken and steak respectively. So you have 3 equations:
c + s = 13.40
c + p = 10.75
s + p = 13.25
Adding all the equations together gives 2(c + s + p) = 13.40 + 10.75 + 13.25
So you can easily work out the value of s + c + p, and hence by subtracting each of the initial equations the individual values.
For the second part – the equations are:
(1) p + f = 540
(2) i + f + 16 = p
(3) 2i + p = 938
and you can eliminate f by rearranging (1) and substituting into (2) – you then have 2 simultaneous equations to solve.
References :
November 23rd, 2009 at 6:27 am
Steak and Chcken = $13.40
Chicken and Salad = $10.75
Steak and Salad = $13.25
add the two salad choices together = $ 24.00
subtract (take away) (-) the Steak and Chicken choices = $ 13.40
the answer will give you the cost of two Salads = $ 10.60
halve the cost of 2 (divide by 2) 10.60/2 to get the cost of one Salad $5.30
subtract $ 5.30 from the cost of Chicken and Salad = $ 5.45 for Chicken
subtract $ 5.30 from the cost of Steak and Salad = $ 7.95 for Steak
The second part
Slice of Pie and Fresh Fruit = 540 calories
Ice Cream and Fresh Fruit and 16 calories = calories in 1 Slice of Pie
2 x Ice Cream and I Slice of Pie = 938 calories
Fresh Fruit = 130 calories
Ice Cream = 264 calories
Slice of Pie = 410 calories
Don’t ask me how I did it I was playing around with numbers for hours. It is all to do with balancing numbers and knowing where to add after taking away numbers. Not as easy nor as simple as the first part of this question. The most significant relationship between numbers in this "calculation" is between the Ice Cream and the Slice of Pie.
Good luck
References :
Just me.