PSLE Four teams of students sold nuggets for charity.
They collected $7 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 D |
17 |
3 |
Team E |
14 |
8 |
Team F |
8 |
12 |
- 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 F?
- Team E sold as many cups of nuggets as Team G but collected $21 less. How many small cups of nuggets did Team G sell?
(a)
Amount collected by Team D
= 17 x 7 + 3 x 10
= 119 + 30
= $149
Amount collected by Team E
= 14 x 7 + 8 x 10
= 98 + 80
= $178
Amount collected by Team F
= 8 x 7 + 12 x 10
= 56 + 120
= $176
Team D collected the least money.
(b)
Amount collected by Team F = $176
(c)
|
Small cups |
Big cups |
Total cups |
Total amount |
Team E |
14 |
8 |
22 |
$178 |
Team G |
7 |
15 |
22 |
178 + 21 = $199 |
Since Team E and Team G sold the same number of cups but Team E collected $21 less, it means that Team G sold more big cups than Team E.
Difference in the total amount collected between Team E and Team G = $21
Difference in the amount collected for every one extra big cup sold by Team G
= 10 - 7
= $3
Number of extra big cups sold by Team G
= 21 ÷ 3
= 7
Number of small cups sold by Team G
= 14 - 7
= 7
Answer(s): (a) D; (b) $176; (c) 7