PSLE Four teams of students sold nuggets for charity.
They collected $8 for a small cup of nuggets and $10 for a big cup of nuggets.
The table shows the number of cups sold by three of the teams.
|
Small cups |
Big cups |
Team R |
16 |
3 |
Team S |
12 |
9 |
Team T |
9 |
10 |
- Which of the three teams collected the least money? Give your answer in letter. (Eg A)
- What was the amount of money collected by Team T?
- Team S sold as many cups of nuggets as Team U but collected $16 less. How many small cups of nuggets did Team U sell?
(a)
Amount collected by Team R
= 16 x 8 + 3 x 10
= 128 + 30
= $158
Amount collected by Team S
= 12 x 8 + 9 x 10
= 96 + 90
= $186
Amount collected by Team T
= 9 x 8 + 10 x 10
= 72 + 100
= $172
Team R collected the least money.
(b)
Amount collected by Team T = $172
(c)
|
Small cups |
Big cups |
Total cups |
Total amount |
Team S |
12 |
9 |
21 |
$186 |
Team U |
4 |
17 |
21 |
186 + 16 = $202 |
Since Team S and Team U sold the same number of cups but Team S collected $16 less, it means that Team U sold more big cups than Team S.
Difference in the total amount collected between Team S and Team U = $16
Difference in the amount collected for every one extra big cup sold by Team U
= 10 - 8
= $2
Number of extra big cups sold by Team U
= 16 ÷ 2
= 8
Number of small cups sold by Team U
= 12 - 8
= 4
Answer(s): (a) R; (b) $172; (c) 4