Question

Zen spent $255 on a bag and a belt. She wanted to buy another

similar bag with the remaining money but was short of $30. In the
end, she bought another similar belt and had $15 left in the end.
(a) How much more did the bag cost than the belt?
(b) How much did the belt cost?​

Answer 1

A)$ 45

B) $105

Explanation:

Bag and a belt cost $255

Let bag = x

Let belt = y

X+y= 255 equation 1

Let total money be z first

Remaining money= z-255

X-30 = z-255

Y +15 = z-255

Equating the left side of the equation

X+30 = y+15

X-y= 45 equation 2

Solving simultaneously

X+y= 255

X-y= 45

2x = 300

X= 150

If x= 150

150-y= 45

150-45= y

105=y

Bag = $150

Belt = $105

Bag Is 150-105 more than the belt

150-105= $45