PSLE Four teams of students sold soda for charity.
They collected $5 for a small cup of soda and $7 for a big cup of soda.
The table shows the number of cups sold by three of the teams.
|
Small cups |
Big cups |
Team P |
20 |
3 |
Team Q |
14 |
9 |
Team R |
7 |
13 |
- 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 R?
- Team Q sold as many cups of soda as Team S but collected $8 less. How many small cups of soda did Team S sell?
(a)
Amount collected by Team P
= 20 x 5 + 3 x 7
= 100 + 21
= $121
Amount collected by Team Q
= 14 x 5 + 9 x 7
= 70 + 63
= $133
Amount collected by Team R
= 7 x 5 + 13 x 7
= 35 + 91
= $126
Team P collected the least money.
(b)
Amount collected by Team R = $126
(c)
|
Small cups |
Big cups |
Total cups |
Total amount |
Team Q |
14 |
9 |
23 |
$133 |
Team S |
10 |
13 |
23 |
133 + 8 = $141 |
Since Team Q and Team S sold the same number of cups but Team Q collected $8 less, it means that Team S sold more big cups than Team Q.
Difference in the total amount collected between Team Q and Team S = $8
Difference in the amount collected for every one extra big cup sold by Team S
= 7 - 5
= $2
Number of extra big cups sold by Team S
= 8 ÷ 2
= 4
Number of small cups sold by Team S
= 14 - 4
= 10
Answer(s): (a) P; (b) $126; (c) 10