Elpida ha preparat unes fulles de parra farcides per a compartir amb 3 amigues. Al final del dinar, ella ha consumit 5 fulles de parra menys que Lídia, 7 menys que Sofia i 3 menys que Glicèria. En total, les quatre amigues han menjat 35 fulles de parra farcides. Quantes ha menjat cada una?

Elpida: 5

Lydia: 10

Sofia: 12

Glyceria: 8

Step-by-step explanation:

(English question:

Elpida has prepared some stuffed vines to share with 3 friends. At the end of the meal, she consumed 5 less vines leaves than Lydia, 7 less than Sofia and 3 less than Glyceria. In total, the four girlfriends ate 35 stuffed vines. How many have you eaten each?)

Let's call the amount of vines consumed by Elpida 'a', by Lydia 'b', by Sofia 'c' and by Glyceria 'd'.

If the information given, we can write the following equations:

a = b - 5 -> b = a+5

a = c - 7 -> c = a+7

a = d - 3 -> d = a+3

a + b + c + d = 35

using the values of b, c and d in the last equation, we have:

a + a + 5 + a + 7 + a + 3 = 35

4a = 20

a = 5

so, we have that:

b = a+5 = 10

c = a+7 = 12

d = a+3 = 8