In September 2010, Armando purchased 5 identically priced shirts and

Question

In September 2010, Armando purchased 5 identically priced shirts and 3 identically priced pairs of trousers from a certain department store. Armando paid a total of €28.85 for the shirts and €38.97 for the trousers. In October 2010, the department store held a sale, taking 25% off of the September price of everything in the store. Armando returned to the store during the October 2010 sale and bought 11 of the shirts and 7 pairs of the trousers for some friends.

In the table, select how much Armando paid in October for the 11 shirts and 7 pairs of trousers, rounding for each item to the nearest cent. Make only one selection in each column.

In the table, select how much Armando paid in October for the 11 shirts and 7 pairs of trousers, rounding for each item to the nearest cent. Make only one selection in each column.

ID: 100377

bcl · Accepted Answer

You can calculate this completely (the IR section gives a calculator), but you can also estimate quite quickly.

For the shirts, 28.85 can be rounded up to 30 euros for 5 shirts, or 6 euros per shirt in September. In October, these are 25% off, or 4.5 euros each. 11 shirts gives 49.50 euros (very easy to do 4.5 * 10 + 4.5). We know we rounded up a bit, so it's reasonable to assume that 47.60 is the right answer - plus there are no other options that are close.

For the trousers, round 38.97 up to 39 euros for 3 pairs, which is 13 euros per pair. At 25% off, these are about 9.75 each in October, I'm going to use 10 because it's an estimate. 10 euros per pair of trousers * 7 pairs gives 70 euros. We know that we overestimated by approximately 0.25 * 7 = 1.75, so we are very confident that 68.20 euros is the proper answer.

Jkothari1 · Answer

One can do the math and it is time consuming. Is there a shorter quicker trick at solving this?

Posted from my mobile device

tgsankar10 · Answer

Cost of  5  shirts  = €28.85 , Cost of one shirt  =\frac{€28.85}{5}=€5.77 , Price after  25	ext{%}  discount  =0.75*5.77=€4.3275

Cost of  3  trousers  = €38.97 , Cost of one trouser  =\frac{€38.97}{3}=€12.99 , Price after  25	ext{%}  discount  =0.75*12.99=€9.7425

Cost of 11 shirts =11*€4.3275= €47.60

Cost of 7 trousers  =7*€9.7425=€68.197 =€68.20

Answer: A & C

Rahilgaur · Answer

PRICE OF 11 shirts = 11* 3/4 of september price=3/4 *(28.85/5)*11= 47.6
similarly  7 pairs of trousers  = (38.97/3)*(3/4)*7 =68.2

jcrafer · Answer

You can use a calculator in DI

Rohanx9 · Answer

A quick(er) way is to understand the cost will change by 11/5 * 0.75 =1.65, so under double. The only answer sensible options are 46.6 and 68.2, so select those.

OmahaFun · Answer

You need to round the number to the nearest number's multiple.
28,85 could round to 30, meanwhile 38,97 become 39.
So you can easily desume that the number of T-shirt purchased are 30/5= 6 and 39/3= 13.

When you have to cut off the 25% you may think to subtract 1/4 of the number.
so 6 become 4,5 and 13 is 9,75.

Finally, you must multiply the digits above for the number of items.

MartyMurray · Answer

In September 2010, Armando purchased 5 identically priced shirts and 3 identically priced pairs of trousers from a certain department store. Armando paid a total of €28.85 for the shirts and €38.97 for the trousers. In October 2010, the department store held a sale, taking 25% off of the September price of everything in the store. Armando returned to the store during the October 2010 sale and bought 11 of the shirts and 7 pairs of the trousers for some friends.

In the table, select how much Armando paid in October for the 11 shirts and 7 pairs of trousers, rounding for each item to the nearest cent. Make only one selection in each column.

In the table, select how much Armando paid in October for the 11 shirts and 7 pairs of trousers, rounding for each item to the nearest cent. Make only one selection in each column.

Glancing at the answer choices, we see that they are pretty far apart. So, we can get this question correct estimating roughly.

Shirts

5 shirts cost approximately 29.

25% off is about 22.

11 = 2.2 × 5

2.2 × 22 = 4.4 + 44 ≈ 48

For  Shirts , choose  47.60 .

Trousers

3 pairs cost approximately 39.

25% off is about 30.

7 = 2.33 × 3

2.33 × 30 ≈ 70

For  Trousers , choose  68.20 .

Correct answer:   47.60 ,  68.20

bumpbot · Answer

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In September 2010, Armando purchased 5 identically priced shirts and

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Shirts	Trousers
		€47.60
		€63.51
		€68.20
		€79.39
		€90.91
		€204.54

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