Small mangoes |
Medium mangoes |
Large mangoes |
$6 |
$7 |
$9 |
Bobby had some mangoes in 3 sizes. The number of medium mangoes was five times the number of large mangoes. The number of large mangoes were thrice the number of small mangoes. He sold all the small and medium mangoes. He received $198 from selling
23 of the large mangoes.
- How many large mangoes did he have at first?
- How much less did he collect from selling the small mangoes than the medium mangoes?
Small mangoes |
Medium mangoes |
Large mangoes |
|
5x3 |
1x3 |
1x1 |
|
3x1 |
1 u |
15 u |
3 u |
(a)
The number of large mangoes is the repeated identity. Make the number of large mangoes the same. LCM of 1 and 3 is 3.
|
Small mangoes |
Medium mangoes |
Large mangoes |
Before |
1 u |
15 u |
3 u |
Change |
- 1 u |
- 15 u |
- 2 u |
After |
0 |
0 |
1 u |
Number of large mangoes that Bobby sold
=
23 x 3 u
= 2 u
|
Small mangoes |
Medium mangoes |
Large mangoes |
Number |
1 u |
15 u |
2 u |
Value |
$6 |
$7 |
$9 |
Total value |
6 u |
105 u |
18 u |
Amount that Bobby received from selling of
23 of the large mangoes = 18 u
18 u = 198
1 u = 198 ÷ 18 = 11
Number of large mangoes at first
= 3 u
= 3 x 11
= 33
(b)
Amount that Bobby collected less from selling the small mangoes than the medium mangoes
= 105 u - 6 u
= 99 u
= 99 x 11
= $1089
Answer(s): (a) 33; (b) $1089