Question

A box of apples has a mass of 17.5 kg.
A box of pears has a mass of 15.5 kg.

a) Write an algebraic expression for the
total mass of a boxes of apples and
p boxes of pears.

b) Use your expression to determine the
total mass of a shipment of 32 boxes of
apples and 41 boxes of pears.

Answer 1

a) 17.5a + 15.5p = t

• Mass of the 1 box of apple= 17.5kg
• Mass of the1 box of pears = 15.5kg
• Let the no. of boxes of apple be 'a'
• Let the no. of boxes of pears be p
• Let the total mass be 't'

17.5a + 15.5p = t

b) The expression to determine the

total mass of a sh pment of 32 boxes of

apples and 41 b oxes of pears

answer:1195.5 = t

since,

• a = 32
• p = 41
• 17.5a + 15.5p = t
• 17.5(32) + 15.5(41) = t
• 560 + 635.5 =t
• 1195.5 = t