Answer:
The answer is below
Step-by-step explanation:
1) Let x represent the price of Tacos and y represent the price of Burrito. You where charged $4.80, hence:
2x + 2y = 4.80; Dividing through by 2:
x + y = 2.4 (1)
Your friend was charged $4.00, hence:
3x + y = 4.00 (2)
Solving equation 1 and 2 simultaneously by subtracting equation 2 from equation 1:
2x = 1.6
x = 0.80
Put x = 0.8 in equation 1:
0.8 + y = 2.4
y = 1.60
The cost of each tacos is $0.80 and the cost for each burritos is $1.60
2) Let x represent the smaller number and y the bigger number, hence:
y - x = 16 (1)
Also:
y = 4x - 5;
y - 4x = -5 (2)
Subtract equation 2 from equation 1 to solve simultaneously:
3x = 21
x = 7
Put x = 7 in equation 1:
y - x = 16
y - 7 = 16
y = 23
The greater number is 23 and the smaller number 7
