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Sagot :
Answer:
5 bottle of nail polish and 4 lip gloss.
Step-by-step explanation:
Let x be the number of bottle of nail polish and y be the number of lip gloss,
∵ Total items are 9,
⇒ x + y = 9
⇒ x = 9 - y -----(1),
Also, total spending is $ 50.50 in which the nail polish costs $4.50 per bottle and lip gloss costs $7 per tube,
⇒ 4.5x + 7y = 50.5
From equation (1),
4.5x + 7(9-x) = 50.5
4.5x + 63 - 7x = 50.5
-2.5x + 63 = 50.5
-2.5x = -12.5
⇒ x = [tex]\frac{-12.5}{-2.5}[/tex] = 5
Again from equation (1),
5 = 9 - y
⇒ 5 + y = 9
⇒ y = 9 - 5 = 4
Hence, she bought 5 bottle of nail polish and 4 lip gloss.
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