Equation is 4b + 5m = €10.90, and values of b and m are €1.35 and €1.1 respectively.
Step-by-step explanation:
- Step 1: Find equation for Thursday's sales.
Given b = price of a loaf of bread and m = price of one liter of milk
Total sales = €10.90
Equation ⇒ 4b + 5m = €10.90
- Step 2: Find the values of b and m.
3b + 2m = 6.25 ----- (1)
4b + 5m = 10.90 ---- (2)
Multiply eq(1) by 5 and eq(2) by 2 to make coefficients of m equal.
15b + 10m = 31.25
8b + 10m = 21.8
Subtract eq(2) from eq(1)
⇒ 7b = 9.45
⇒ b = 9.45/7 = €1.35
Substitute for b and find m using eq(1).
⇒ 3 × 1.35 + 2m = 6.25
⇒ 4.05 + 2m = 6.25
⇒ 2m = 2.2
∴∴ m = 2.2/2 = €1.1
