Tope bought X oranges at N5.00 each and some mangoes at N4.00 each. if she bought twice as many mangoes as oranges and spent at least N65.00 and at most N130.00, find the range of values of X.

  • A 4≤X≤5
  • B 5≤X≤8
  • C 5≤X≤10
  • D 8≤X≤10

The correct answer is C. 5≤X≤10

Let's analyze the information given:

1. Tope bought X oranges at N5.00 each.

2. She bought twice as many mangoes as oranges, so she bought 2X mangoes at N4.00 each.

The total amount spent on oranges is \(5X\) Naira, and the total amount spent on mangoes is \(2X \times 4 = 8X\) Naira.

The total amount spent by Tope must be at least N65.00 and at most N130.00:

\(65 \leq 5X + 8X \leq 130\)

Combine the terms:

\(65 \leq 13X \leq 130\)

Now, divide both sides by 13:

\(5 \leq X \leq 10\)

So, the range of values for X is \(5 \leq X \leq 10\).

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