A box contains some kiwis, mangoes and lemons. 0.8 of the kiwis is equal to 60% of the mangoes. The number of lemons is
45 of the total number of mangoes and kiwis. If there are 64 less mangoes than lemons, how many fruits are there in the box altogether?
Kiwis |
Mangoes |
Lemons |
3x5 |
4x5 |
|
5x7 |
4x7 |
15 u |
20 u |
28 u |
0.8 =
810=
45 60% =
60100 =
35 0.8 of the kiwis is equal to 60% of the mangoes. Make the numerators the same. LCM of 4 and 3 is 12.
4x35x3 of the kiwis =
3x45x4 of the mangoes
1215 of the kiwis =
1220 of the mangoes
Kiwis : Mangoes
15 : 20
(÷5)
3 : 4
The total number of kiwis and mangoes is repeated. Make the total number of kiwis and mangoes the same. LCM of 7 and 5 is 35.
Number of less mangoes than lemons
= 28 u - 20 u
= 8 u
8 u = 64
1 u = 64 ÷ 8 = 8
Number of the fruits in the box altogether
= 15 u + 20 u + 28 u
= 63 u
= 63 x 8
= 504
Answer(s): 504