A store sells bread and milk. On Tuesday, 3 loaves of bread and 2 litres of milk were sold for €6.25. On Thursday

4 loaves of bread and 5 litres of milk were sold for €10.90. If b = the price of a loaf of bread and m = the price of

one litre of milk, Tuesday's sales can be written as 3b+2m=6.25.

Part A Using simplest terms, write an equation in band m for Thursday's sales.

PartB calculate the values of b and m

a) 4b + 5m = 10.90

b) m = 1.1, b = 1.35

Step-by-step explanation:

a) 4b + 5m = 10.90

b)

4b + 5m = 10.90

3b + 2m = 6.25

b = (10.90 - 5m) / 4

b = 2.725 - 1.25m

3b + 2m = 6.25

3 (2.725 - 1.25m) + 2m = 6.25

8.175 - 3.75m + 2m = 6.25

1.75m = 1.925

m = 1.1

b = (10.9 - 5.5) / 4

b = 1.35

A store sells bread and milk. On Tuesday, 3 loaves of bread and 2 litres of milk were sold for €6.25. On Thursday 4 loaves of bread and 5 litres of milk were sold for €10.90. If b = the price of a loaf of bread and m = the price of

one litre of milk, Tuesday's sales can be written as 3b+2m=6.25.

Part A Using simplest terms, write an equation in band m for Thursday's sales.

PartB calculate the values of b and m

3b + 2m = 6.25 >> Tuesday equation 1

4b + 5m = 10.90 >> Thursday equation 2

Subtract equation 1 and 2

3b+2m-6.25-4b+5m-10.90 = 0

b+7m-4.65 = 0

b+7m = 4.65+0

b+7m = 4.65

b = 4.65 - 7m

if b = 4.65-7m

then substitute b in b+7m=4.65

4.65-7m+7m = 4.65

4.65-m = 4.65

4.65-4.65 = m

m = 0