Madison and Jim paid $21.08 for 1 large pizza,2 salads With the same price,and 2 drinks With the same price. The pizza cost $11.70,wich was 3 times as
much as the cost of one salad.They also used a coupon for $2 off their purchase. What was the cost of one drink?
$6.63
Let's break down the problem step-by-step to find the cost of one drink.
Let's start by finding the cost of one salad.
Since the pizza cost $11.70, which was 3 times the cost of one salad, we can divide the cost of the pizza by 3.
Cost of one salad = $11.70 / 3 = $3.90
Now let's find the total cost of both salads.
They bought 2 salads, so we need to multiply the cost of one salad by 2.
Total cost of salads = $3.90 x 2 = $7.80
Now let's find the total cost of the pizza, salads, and drinks before the coupon.
Total cost before coupon = cost of pizza + total cost of salads + total cost of drinks
$21.08 = $11.70 + $7.80 + total cost of drinks
$21.08 = $19.50 + total cost of drinks
Now let's subtract the coupon value from the total cost before coupon.
Total cost after coupon = total cost before coupon - coupon value
$21.08 - $2 = $19.08
Finally, let's find the cost of one drink.
Total cost after coupon = $19.08 = $19.50 + total cost of drinks
Total cost of drinks = $19.08 - $19.50
Total cost of drinks = -$0.42
Oops! There seems to be an error in the calculations. It appears that the given information does not make sense mathematically. Please double-check the problem and provide the correct information if possible.
To find the cost of one drink, let's break down the given information step-by-step:
1. Let's assume the cost of one salad is 'x' dollars.
2. According to the given information, the pizza costs three times as much as one salad. Therefore, the cost of the pizza is 3x dollars.
3. Madison and Jim bought 1 large pizza, 2 salads, and 2 drinks. So their total cost is: 1 pizza + 2 salads + 2 drinks = 11.70 dollars + 2x dollars + 2y dollars (where 'y' is the cost of one drink).
4. The total cost of their purchase is $21.08, but they used a $2 coupon. So, the equation becomes: (11.70 + 2x + 2y) - 2 = $21.08.
5. Simplifying the equation, we have: 11.70 + 2x + 2y - 2 = 21.08.
6. Combining like terms, the equation becomes: 2x + 2y + 9.70 = 21.08.
7. To isolate the variables, subtract 9.70 from both sides of the equation: 2x + 2y = 21.08 - 9.70.
8. Simplifying further, we get: 2x + 2y = 11.38.
9. Now, let's divide both sides of the equation by 2 to solve for 'y', the cost of one drink: (2x + 2y) / 2 = 11.38 / 2.
10. Simplifying, we have: x + y = 5.69.
11. Since the problem states that the pizza costs $11.70, which is 3 times the cost of one salad (3x), we can equate these two: x * 3 = 11.70.
12. Solving for 'x', we divide both sides of the equation by 3: x * 3 / 3 = 11.70 / 3.
13. Simplifying: x = 3.90.
14. Substituting the value of 'x' into the equation from step 10 (x + y = 5.69), we have: 3.90 + y = 5.69.
15. Solving for 'y', subtract 3.90 from both sides: y = 5.69 - 3.90.
16. Thus, the cost of one drink is: y = $1.79.
Therefore, the cost of one drink is $1.79.
1p + 2s + 2d - 2 = 21.08
but p = 11.7
and s = 11.7/3= 3.90
11.7 + 2(3.9) + 2 d - 2 = 21.08
solve for d, the cost of a drink