Answer :
Answer:
Below in bold.
Step-by-step explanation:
Let cost of sandwich = s, juice = j and salad = d.
2s + j = 500 (A)
s + d = 510 (B)
d + j = 530 (C)
Equation (C) - (B) ( to eliminate d):
j - s = 20 (D)
(A) - (D) = (to eliminate j):
2s - (-s) = 480
3s = 480
s = 160
A sandwich costs E 1.60.
The cost of one sandwich is €1.60, and the cost of one sandwich, one salad, and one juice is €6.90.
To find the cost of one sandwich, one salad, and one juice at the local restaurant, we can use the information given in the offers:
Offer A: 2 sandwiches and juice for €5.00 Offer B: Sandwich and salad for €5.10 Offer C: Salad and juice for €5.30
Let's define the cost of one sandwich as S, one salad as D, and one juice as J. We can set up the following equations based on the offers:
For Offer A: 2S + J = €5.00
For Offer B: S + D = €5.10
For Offer C: D + J = €5.30
First, we can express J from the first equation:
J = €5.00 - 2S
Next, we substitute J into the third equation:
D + (€5.00 - 2S) = €5.30 D + €5.00 - 2S = €5.30 D = 2S + €0.30
We now substitute D into the second equation:
S + (2S + €0.30) = €5.10 3S + €0.30 = €5.10 3S = €4.80 S = €1.60
So, the cost of one sandwich (S) is €1.60. Now, let's find the cost of one salad (D) and one juice (J) using the values we have:
D = 2S + €0.30 D = 2(€1.60) + €0.30 D = €3.20 + €0.30 D = €3.50
J = €5.00 - 2S J = €5.00 - 2(€1.60) J = €5.00 - €3.20 J = €1.80
Finally, the total cost of one sandwich, one salad, and one juice is:
S + D + J €1.60 + €3.50 + €1.80 €6.90
