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 the value of x.
Tope bought x oranges at ₦5.00 each and 2x mangoes at ₦4.00 each.
Total amount spent = \5x + 4(2x) = 5x + 8x = 13x
Given: ₦65.00 ≤ 13x ≤ ₦130.00
Divide through by 13:
5 \(\leq\) x \(\leq\) 10.
(or x = 5, 6, 7, 8, 9, 10)
Verification:
- When x = 5: 13 × 5 = ₦65.00 (minimum)
- When x = 10: 13 × 10 = ₦130.00 (maximum)
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