PSLE Four teams of students sold soda for charity.
They collected $5 for a small cup of soda and $9 for a big cup of soda.
The table shows the number of cups sold by three of the teams.
|
Small cups |
Big cups |
Team W |
15 |
2 |
Team X |
13 |
8 |
Team Y |
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 Y?
- Team X sold as many cups of soda as Team Z but collected $24 less. How many small cups of soda did Team Z sell?
(a)
Amount collected by Team W
= 15 x 5 + 2 x 9
= 75 + 18
= $93
Amount collected by Team X
= 13 x 5 + 8 x 9
= 65 + 72
= $137
Amount collected by Team Y
= 9 x 5 + 10 x 9
= 45 + 90
= $135
Team W collected the least money.
(b)
Amount collected by Team Y = $135
(c)
|
Small cups |
Big cups |
Total cups |
Total amount |
Team X |
13 |
8 |
21 |
$137 |
Team Z |
7 |
14 |
21 |
137 + 24 = $161 |
Since Team X and Team Z sold the same number of cups but Team X collected $24 less, it means that Team Z sold more big cups than Team X.
Difference in the total amount collected between Team X and Team Z = $24
Difference in the amount collected for every one extra big cup sold by Team Z
= 9 - 5
= $4
Number of extra big cups sold by Team Z
= 24 ÷ 4
= 6
Number of small cups sold by Team Z
= 13 - 6
= 7
Answer(s): (a) W; (b) $135; (c) 7