Makers Corp. had additions to retained earnings for the year just ended of $205000. The firm paid out $185000 in cash divends, a
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45 dimes and 93 nickels were in bank
<em><u>Solution:</u></em>
Let "n" be the number of nickels
Let "d" be the number of dimes
We know that,
value of 1 nickel = $ 0.05
value of 1 dime = $ 0.10
<em><u>Given that There are three more than twice as many nickels as there are dimes</u></em>
Number of nickels = 3 + 2(number of dimes)
n = 3 + 2d ---- eqn 1
<em><u>Also given that coin bank that excepts only nickels and dimes contains $9.15</u></em>
number of nickels x value of 1 nickel + number of dimes x value of 1 dime = 9.15
0.05n + 0.10d = 9.15 ---- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
Substitute eqn 1 in eqn 2
0.05(3 + 2d) + 0.10d = 9.15
0.15 + 0.1d + 0.10d = 9.15
0.2d = 9
<h3>d = 45</h3>From eqn 1
n = 3 + 2(45)
n = 3 + 90 = 93
<h3>n = 93</h3>Thus 45 dimes and 93 nickels were in bank
Answer:
0.6 cups of sugar and 1.25 cups of chocolate chips
Step-by-step explanation:
We can begin to solve this problem with a simple proportion:
=
=
(x = the new # of sugar y = new # of chocolate chips)
In order to keep everything proportional, we must abide by the scale factor shown with the the flour.
Basically, if we're going to use three times the amount of flour we actually need, then we need to triple all our other ingredients.
We can see that the scale factor is one half, so
x = 1.2 * 0.5
and
y = 2.5 * 0.5
This means that:
x = 0.6
y = 1.25
This means that he has to use 0.6 (or 3/5) cups of sugar and 1.25 (or 9/8) cups of chocolate chips.