+0

# Jaheem always helps his mother look after her fruit stall. At the fruit stall, 3 7 of the fruits are mangos. 3 8 of the remaining fruits are

0
1
327
1

Jaheem always helps his mother look after her fruit stall. At the fruit stall, 3/7 the fruits are mangos. 3/8 of the remaining fruits are kiwis and the rest are bananas. How many fruits are there altogether if there are 130 bananas?

Guest Aug 27, 2015

#1
+91773
+5

Jaheem always helps his mother look after her fruit stall. At the fruit stall, 3/7 the fruits are mangos. 3/8 of the remaining fruits are kiwis and the rest are bananas. How many fruits are there altogether if there are 130 bananas?

Let the number of fruit be F

There are (3/7)F mangoes so there are   (4/7)F that are not mangos

There are (3/8)*(4/7)F   that are kiwi fruit

the rest are bananas

so

The number of bananas = total - mangos - kiwi fruit

The number of bananas = F -  (3/7)F  - (3/8)*(4/7)F    but there are 130 bananas

so

F -  (3/7)F  - (3/8)*(4/7)F = 130

F [ 1-  (3/7)  - (3/8)*(4/7)] =130

F=130 / [ 1-  (3/7)  - (3/8)*(4/7)]

$${\frac{{\mathtt{130}}}{\left[{\mathtt{1}}{\mathtt{\,-\,}}\left({\frac{{\mathtt{3}}}{{\mathtt{7}}}}\right){\mathtt{\,-\,}}\left({\frac{{\mathtt{3}}}{{\mathtt{8}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{4}}}{{\mathtt{7}}}}\right)\right]}} = {\mathtt{364}}$$

So ther are 364 peices of fruit

Melody  Aug 27, 2015
Sort:

#1
+91773
+5

Jaheem always helps his mother look after her fruit stall. At the fruit stall, 3/7 the fruits are mangos. 3/8 of the remaining fruits are kiwis and the rest are bananas. How many fruits are there altogether if there are 130 bananas?

Let the number of fruit be F

There are (3/7)F mangoes so there are   (4/7)F that are not mangos

There are (3/8)*(4/7)F   that are kiwi fruit

the rest are bananas

so

The number of bananas = total - mangos - kiwi fruit

The number of bananas = F -  (3/7)F  - (3/8)*(4/7)F    but there are 130 bananas

so

F -  (3/7)F  - (3/8)*(4/7)F = 130

F [ 1-  (3/7)  - (3/8)*(4/7)] =130

F=130 / [ 1-  (3/7)  - (3/8)*(4/7)]

$${\frac{{\mathtt{130}}}{\left[{\mathtt{1}}{\mathtt{\,-\,}}\left({\frac{{\mathtt{3}}}{{\mathtt{7}}}}\right){\mathtt{\,-\,}}\left({\frac{{\mathtt{3}}}{{\mathtt{8}}}}\right){\mathtt{\,\times\,}}\left({\frac{{\mathtt{4}}}{{\mathtt{7}}}}\right)\right]}} = {\mathtt{364}}$$

So ther are 364 peices of fruit

Melody  Aug 27, 2015

### 6 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details