the total bill of 3 pizza and 5 pieces garlic bread is Rs 1406. the cost of a pizza is Rs 25 more than twice the cost of a piece of garlic bread. find cost of pizza and pieces of garlic bread
Answers
AnswEr :
- Total Bill of 3 Pizza and 5 Pieces of Garlic bread is Rs. 1406
- Cost of a Pizza is Rs. 25 more than twice of cost of a piece of garlic bread.
- Find the Cost of Pizza and Pieces of Garlic Bread.
Let Price of 1 Piece of Garlic Bread be Rs. a
• According to the Question Now :
→ 1 Pizza Price = (2 × 1 Garlic Bread) + 25
→ 1 Pizza Price = (2 × a) + 25
→ 1 Pizza Price = Rs. (2a + 25)
• Let's Head to the Question Now :
⇒ (3 Pizza + 5 Garlic Bread) = Rs. 1406
⇒ 3 × (2a + 25) + 5 × (a) = 1406
⇒ 6a + 75 + 5a = 1406
⇒ 11a = 1406 – 75
⇒ 11a = 1331
- Dividing Both term by 11
⇒ a = 121
◗ 3 Pizza = 3(2a + 25) = 3(2*121 + 25) = 3(242 + 25) = 3 × 267 = Rs. 801
◗ 5 Garlic Bread = 5(a) = 5 × 121 = Rs. 605
∴ Cost of 3 Pizza is Rs. 801 and 5 Pieces of Gralic Breads Cost Rs. 605
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• Verification :
⇒ (3 Pizza + 5 Garlic Bread) = Rs. 1406
⇒ 3 × (2a + 25) + 5 × (a) = Rs. 1406
⇒ 3 × (2*121 + 25) + (5 × 121) = Rs. 1406
⇒ {3 × (242 + 25)} + (5 × 121) = Rs. 1406
⇒ (3 × 267) + 605 = Rs. 1406
⇒ Rs. (801 + 605) = Rs. 1406
⇒ Rs. 1406 = Rs. 1406 ⠀⠀Hence, Verified!
Answer:
see the attachment for solution
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