The rule for working out the weight of a plastic plate holding cashew nuts is: \( \quad 35 \mathrm{~g} \) for the plate and 4 g for each nut Suppose \( x \) is the number of nuts, and the total weigl is 75 g . Write this as an equation.
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To express the weight of the plastic plate holding cashew nuts as an equation, we can start with the given information. The weight of the plate is 35 g, and each cashew nut weighs 4 g. Therefore, when you have \( x \) nuts, their total weight will be \( 4x \) grams. The combined weight of the plate and the nuts equates to 75 g, which gives us the equation: \[ 35 + 4x = 75 \] Now you can solve for \( x \) to find the number of nuts on your plate! To solve this equation, first subtract 35 from both sides: \[ 4x = 75 - 35 \] This simplifies to: \[ 4x = 40 \] Now divide by 4 to get: \[ x = 10 \] So, you can pile up 10 tasty cashew nuts on that plate without exceeding the total weight!