Question

11. 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

b) Total mass of the shipment is 1195.5kg

Explanation:

Mass of 1 box of apple= 17.5kg

Mass of 1 box of pears = 15.5kg

a) expression for getting total mass:

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) a = 32

p = 41

17.5a + 15.5p = t

17.5(32) + 15.5(41) = t

560 + 635.5 =t

1195.5 = t

Total mass of the shipment is 1195.5kg