Question

Jamie and x used Dollar 61.20 each to buy some egg tarts Jamie has a 15 percent discount coupon and bought 6 more egg tarts than x how many egg tarts did Jamie buy???? what is the cost of an egg tart​

Answer 1

Answer:

The original price of an egg tart was ₹ 1.80 and Jaime bought 40 egg tarts.

Step-by-step explanation:

Let the price of an egg tart be ₹ p.

We are given that Jaime had a discount coupon of 15%.

That implies, the price of egg tart for Jaime would be ₹ $p- \frac{15}{100} p = \frac{85p}{100} = \frac{17p}{20}$

Since the price is ₹ p,

∴ for ₹61.20, $\frac{61.20}{p}$ number of egg tarts could be bought by x.

According to the question, due to the coupon Jaime bought 6 egg tarts more than x for ₹61.20.

Amount of egg tarts that can be bought for ₹61.20 by Jaime is:

$\frac{61.20}{\frac{17p}{20} } = \frac{61.20 * 20}{17p}$

= $\frac{1224}{17p} = \frac{72}{p}$

Thus, we have,

$\frac{61.20}{p}+6 = \frac{72}{p}$

⇒ $\frac{61.20 + 6p}{p} = \frac{72}{p}$

⇒ $6p = 10.80$

⇒ p = ₹ 1.80

Thus, the price of an egg tart was ₹ 1.80 and Jaime bought $\frac{61.20 + 6*(1.8)}{1.8}$$= \frac{61.2+10.8}{1.8} = \frac{72}{1.8} =40$ egg tarts.