Q1) A delivery company charges $6 for parcels delivered on time
and $4 for parcels delivered late. In January, the company
collected $7680. For every 17 parcels delivered 3 were delivered
late.
a) What was the total number of parcels delivered on time?
b) How much less money did the company collect in January
because of parcels delivered late?
2) John and Sarah each saved a fixed amount each day. Sarah, who
started saving earlier,saved $3 each day. By the 20th day of
Sarah's saving,John had saved $20. By the 26th day of Sarah's
saving,John had saved $44.
a)How much did John save each day?
b) On which day of Sarah's saving would their total savings be
$164?
1)
For every 17 parcels, 3 were late, so 14 were on time.
Total cost of "1 set" of 17 parcels
= ( 3 X $4 ) + ( 14 X $6 )
= $12 + $84
= $96
Amount of "sets" of 17 parcels
= $7680 / $96
= 80 "sets"
Total number of parcels delivered on time
= 80 "sets" X 14
= 1120
parcels
Total number of parcels which were late
= 80 "sets" X 3
= 240
Amount of money which company lost
= 240 X ( $6 - $4 )
= 240 X $2
= $480
2)
Amount of days between 20th and 26th day = 6 days
Amount of savings John made in this 6 days
= $44 - $20
= $24
Amount John saved each day
= $24 / 6
= $4
Amount of days which Sarah started her savings before John
= 20 - ( $20 / $4 )
= 20 - 5
= 15 days
Amount Sarah saved in 15 days
= 15 X $3
= $45
Amount more for both Sarah and John to save up
= $164 - $45
= $119
Total amount Sarah and John saved each day
= $4 + $3
= $7
Amount of days needed to save up the rest of the amount
= $119 / $7
= 17 days
on which day of Sarah saving would their total savings be
$164
= 15 days + 17 days
= on the 32th
day