25% of what number is 13
2 answers:
Answer: x = 52
Step-by-step explanation: Well <em>percent</em> means <em>over 100</em> so we know that 25% means 25/100. <em>Of</em> means <em>times</em>, <em>what number</em> means <em>x</em>, <em>is</em> means<em> equals</em>, and <em>12</em> means <em>12</em>. So we can translate this problem into an equation.
So we have the equation 25/100 · X = 13
Notice that 25/100 can be reduced to 1/4.
So rewriting our problem we have X/4 = 13.
To get rid of the fraction, we multiply both sides of the equation by 4 and we have <em>x = 52</em>.
This means that 25% of <em>52</em><em> </em>is 13.
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Let x be the number of bags of Nature's Recipe Venison Meal & Rice Canine 20 percent protein, y be the number of bags of Nutro Max Natural Dog Food 27 percent protein and z be the number of bags of PetSmart Premier Oven Baked Lamb 25 percent protein a dog breeder buys. He wants to make 300 pounds of a mix. Then
20x+17.5y+30z=300.
Now
- in 20x pounds of Nature's Recipe Venison Meal & Rice Canine 20 percent protein is 0.2·20x=4x pounds of protein;
- in 17.5y pounds of Nutro Max Natural Dog Food 27 percent protein is 0.27·17.5y=4.725y pounds of protein;
- in 30z pounds of PetSmart Premier Oven Baked Lamb 25 percent protein is 0.25·30z=7.5z pounds of protein;
- in 300 pounds of mix containing 22 percent protein is 0.22·300=66 pounds of protein.
Then 4x+4.725y+7.5z=66.
You get a system
From the first equation Substitute it into the second equation:
Simplify it:
y must be divided by 20, then
- y=0, x=9, z=10-6=4;
- y=20, x=16, z is not a whole number;
- y=40, x=23, z is not a whole number;
- y=60, x=30, z=10-20-35<0;
- thus, all other possible z will be <0.
Answer: 9 bags with 1st mix, 0 bags with 2nd mix and 4 bags with 3rd mix.