Urgent help! QUESTION 1

A fruit basket has both mangoes and oranges and can accommodate only 80 mangoes and oranges when

full. If there are x mangoes in a full basket,

(i) Write an expression for the number of oranges in it.

(ii) If an orange costs 50 cents and a mango costs 40 cents, write an expression for the amount of

money collected (in dollars) for the sale of all the mangoes and oranges in the full basket, S ( x ) .

(iii) Find the total amount collected from selling all the fruits in the full basket if there are 35 mangoes

in it.

(i)

(ii)

(iii) $36.5

Step-by-step explanation:

Given that:

1. Total Number of fruits = 80

2. Number of mangoes = x

3. Both mangoes and oranges are there in the basket.

Solution (i):

Only mangoes and oranges are there in the basket and the basket is full.

so, Number of mangoes + Number of oranges = Total number of fruits

x + Number of oranges = 80

Number of oranges =

Solution (ii):

Given:

Cost of an orange = 50 cents = $0.50

Cost of a mango = 40 cents = $0.40

Cost for x mangoes =

Cost for () oranges =

Solution (iii):

Put value of x = 35 in S(x)

Hence, answers are:

(i)

(ii)

(iii) $36.5

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).