William has $7.50 to spend at the pretzel shop. A large pretzel costs $1.25 and a soft drink costs $0.90. He buys one drink and pretzels. Which inequality can be used to find the number of pretzels William can buy?
Answers
Answer:
- 5 Pretzels
Steps:
Let the number of Pretzels bought by William be 'x'.
According to the question, he has $ 7.50.
One Pretzel = $ 1.25
One soft drink = $ 0.90
Also, it is given that, he is buying only 1 soft drink and 'x' number of pretzels.
We know that, William will be able to spend the whole $ 7.50 he has, or he can save some of his money. So the inequality would be ≤ $ 7.50.
Forming the inequality we get:
→ ($ 1.25) x + ($ 0.90) (1) ≤ $ 7.50
→ ($ 1.25) x + $ 0.90 ≤ $ 7.50
Subtracting $ 0.90 on both side of the inequality we get:
→ ($ 1.25) x ≤ $ 7.50 - $ 0.90
→ ($ 1.25) x ≤ $ 6.60
Dividing both sides of the inequality by $ 1.25 we get:
→ x ≤ ( $ 6.60 ) / ($ 1.25)
→ x ≤ 5.28
Hence the number of Pretzels, William can buy is less than 5.28. Since Pretzels can't be of decimal value, we round it off to the nearest whole number 5.
Hence the number of Pretzels, William can buy is 5.
✰Hɪɪɪ MATᴇ✰
Sᴏʟᴜᴛɪᴏɴ:
Let the number of pretzels bought bought by
William be x
forming the inequality we get :
➩($1.25) x +($0.90) (1) < $ 7.50
➩($1.25) x + $ 0.90 < $ 7.50
➩($ 1.25 )× < $ 7.50 - $0.90
➩($ 1.25) × < $ 6.60
➩x < ($ 6.60) / ($ 1.25)
➩ x < 5.28